Little help here guy

Calculate volume

Little Help Here GuyCalculate Volume

Answers

Answer 1

Answer/Step-by-step explanation:

Problem 1:

Radius = 4.8 cm

Height = 6 cm

Volume of cylinder (V) = πr²h

Plug in the values

V = π*4.8²*6 = 434.29 cm³

Problem 2:

Length of pipe = 26 cm

Internal diameter = 6.5 cm

Thickness = 0.5 cm

Pipe volume (V) = π(R² - r²)h

where,

R = Outer radius = ½(6.5) + 0.5 = 3.75 cm

r = inner radius = ½(6.5) = 3.25 cm

h = height = 26 cm

Plug in the values

V = π(3.75² - 3.25²)*26 = 285.88 cm³

Problem 3:

Volume the cylindrical paint can hold = 2.5 litres = 2.5*1000 = 2,500 cm³

Height (h) = 16 cm

Radius (r) = ??

Volume of cylindrical can (V) = πr²h

Plug in the values

2,500 = π × r² × 16

2,500 = 16π × r²

Divide both sides by 16π

2500/16π = r²

49.7 = r²

Take the square root of both sides

√49.7 = r

r = 7.05 cm (nearest hundredth)

Problem 4:

The section of the guttering is ½ of a cylinder

Diameter = 14 cm = 0.14 m

Radius = ½(0.14) = 0.07 m

Volume = 20 litres = 0.02 m³

Length (h) = ??

Volume of the guttering = ½(volume of cylinder) = ½(πr²h)

Plug in the values

0.02 = ½(π*0.07²*h)

0.02*2 = 0.0049π*h

0.04 = 0.0049π*h

Divide both sides by 0.0049π

0.04/0.0049π = h

2.6 = h (nearest tenth)

Length = 2.6 m

Problem 5:

Height of the smaller cylinder (h) = 13 cm

Radius of the smaller cylinder (r) = ½(7) = 3.5 cm

Volume of smaller cylinder = πr²h = π × 3.5² × 13 = 500.3 cm³

Volume of larger cylinder filled to a height of 5 cm = Volume of smaller cylinder

Thus:

Volume of cylinder filled to height of 5cm = 500.3 cm³

height (h) = 5

radius (r) = ???

Therefore,

500.3 = π × r² × 5

500.3 = 5π × r²

500.3/5π = r²

31.9 = r²

√31.9 = r

r = 5.6 cm (nearest tenth)


Related Questions

Student can eat 1/8 of a pizza. If there are 24 students in David's class how many pizzas does David need

Answers

Answer: 7 boxes of pizza

Step-by-step explanation:

8x3=24

Answer:

David needs 3 pizzas.

Step-by-step explanation:

This is grammatically incorrect, but based on the information provided, I would infer that each student eats *only* 1/8 of a pizza. You would need 3 pizzas, as 3 x 8 =24.

For the number line shown which statement is not true

Answers

upload the picture...

Suppose a team is to be formed consisting of a head chef, sous chef, and dishwasher, in that order. What is the probability of forming such a team with 6 people?

Answers

Answer:

0.0083

Step-by-step explanation:

From the given information;

The total number of individual in the team = 3

The number of ways the team, which comprises of head chef, sous chef, and dishwasher can be arranged = [tex]^{6}P_3[/tex]

= (6×5×4×3!)/3!

= 6×5×4

= 120 ways

The probability of forming such a team with 6 people = 1/120

= 0.0083

A certain bacteria multiply exponentially at a rate of 8% per day. If 2 bacteria exist initially, how many
will be present after 25 days?

Answers

Answer:

After 25 days will be present about 13.70 ≅ 13 bacteria

Step-by-step explanation:

The form of the exponential function is y = a [tex](1+r)^{x}[/tex] , where

a is the initial valuer is the rate in decimal

∵ A certain bacteria multiply exponentially at a rate of 8% per day

→ Assume that y is the number of bacteria, x is the number of days

r = 8% = [tex]\frac{8}{100}[/tex] = 0.08

∵ 2 bacteria exist initially

a = 2

→ Substitute them in the form of the equation above

∵ y = 2 [tex](1+0.08)^{x}[/tex]

y = 2 [tex](1.08)^{x}[/tex]

x = 25

→ Substitute x in the equation by 25

∴ y = 2 [tex](1.08)^{25}[/tex]

y = 13.69695

After 25 days will be present about 13.70 bacteria

Note: The number of bacteria must be the whole number so the answer should be 13 bacteria will be present after 25 days.

4xº
(2x – 6°
33°
A. x= 31, y = 91
B. x= 31, y = 116
C. x = 56, y=91
D. x= 56, y = 116

Answers

Answer: X=31 y=92

Explanation:

Total emissions of carbon dioxide from the burning of fossil fuels have been increasing at about 5% per year (data from 2010 to 2011). If emissions continue to increase at this rate, about how much higher will total emissions be in 2035 than in 2010? Using the approximate formula, emissions will increase by a factor of between 2010 and 2035. Using the exact formula, emissions will increase by a factor of between 2010 and 2035. (Round to two decimal places as needed.)​

Answers

Answer:

125%

Step-by-step explanation:

5% multipled by 25 years (from 2010 - 2035) = 125%

And i aint never seen to pretty best friendsssss

If emissions continue to increase at this rate, then about 125% higher total emissions will be in 2035 than in 2010.

What is the fundamental principlmultipliediplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that Total emissions of carbon dioxide from the burning of fossil fuels have been increasing at about 5% per year.

Using the approximate formula, we can see that the emissions will increase by a factor of between 2010 and 2035.

Using the exact formula, it can be seen that the emissions will increase by a factor of between 2010 and 2035.

Therefore, 5% multipled by 25 years (from 2010 - 2035)

0.05 x 25 = 125%

If emissions continue to increase at this rate, then about 125% higher total emissions will be in 2035 than in 2010.

Learn more about multiplications;

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Which statement about the diagram is true

Answers

Answer:

AB have the length of 9

Step-by-step explanation:

5 is to short 14 is too long in between would be 9

brainliest be good peeps Calculate the missing term in each
proportion.
2/11= /55
36/42= /
9/ = 21/28
6/9= /15

Answers

Answer:

10/55

6/7

9/12

10/15

Enter the sum of the numbers as the product of their GCF and another sum.


35 + 56

The sum of the numbers as a product of their GCF is . please help im on a test!

Answers

Answer:

8

Step-by-step explanation:

Explanation: The GCF of 56 and 64 is 8 , as 8 goes into 56 exactly 7 times and into 64 exactly 8 times. 8(8)+7(8)=8(7+8).

Emily simplified this expression.



Expression: (5−2)2+23×4

Step 1: (3)2+23×4
Step 2: 9+23×4
Step 3: 9+9×4
Step 4: 9+36
Step 5: 45



Emily made a mistake. Which step shows her first mistake?


Step 1


Step 2


Step 3


Step 4

Answers

Step 2 since 3*2 equals 6

which expression is equivalent to 2n+n-0.65n

3n-0.65
3n - 0.35
2.65n
2.35n​

Answers

2.35n is equivalent. 2n + n is 3n, and 3n - 0.65n is 2.35n

Equivalent fraction of 12/126

Answers

Answer:

2/21

Step-by-step explanation:

The following steps show how the right side of 1 – cos(2x) = tan(x)sin(2x) can be rewritten to show it is an identity.
tan(x)sin(2x)
= tan(x)∙[2sin(x)cos(x)]
= StartFraction sine (x) Over cosine (x) EndFraction times 2 sine (x) cosine (x)
= 2sin2(x)
= 1 – cos(2x)
What are the correct justifications, listed in proper order?
Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity
Double Angle Identity, Simplify, Double Angle Identity, Quotient Identity for Tangent
Double Angle Identity, Simplify, Quotient Identity for Tangent, Double Angle Identity
Double Angle Identity, Quotient Identity for Tangent, Double Angle Identity, Simplify

Answers

Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity

The following steps show how the right side of 1 – cos(2x) = tan(x)sin(2x) can be rewritten to show it is an identity is option A

Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity.

What is double angle identity?

The sin2x formula is the double angle identity used for sine function in trigonometry. Trigonometry is a branch of mathematics where we study the relationship between the angles and sides of a right-angled triangle. The formula for sin2x: sin2x = 2 sin x cos x (in terms of sin and cos)

Given

1 – cos(2x) = tan(x)sin(2x)

Taking R.H.S

tanx.sin2x

= tanx(2 sinx cosx)

2 sinx cosx is a double angle identity

= [tex]\frac{sinx}{cosx} .(2 sinxcosx)[/tex]

[tex]\frac{sinx}{cosx}[/tex] is a quotient identity for tangent

= [tex]2sin^{2} x[/tex]

We have simplify by cancelling out cosx.

= 1 - cos(2x)

It is a double angle identity.

Find out more information about double angle identity here

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What value of x makes the following equation true?
15+3x=3(2−2x)

Answers

Answer:

[tex]\boxed {x = -1}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]15 + 3x = 3(2 - 2x)[/tex]

-Use Distributive Property:

[tex]15 + 3x = 3(2 - 2x)[/tex]

[tex]15 + 3x = 6 - 6x[/tex]

-Take [tex]6x[/tex] and add it to [tex]3x[/tex]:

[tex]15 + 3x + 6x = 6 + 6x - 6x[/tex]

[tex]15 + 9x = 6[/tex]

-Subtract both sides by [tex]15[/tex]:

[tex]15 - 15 + 9x = 6 - 15[/tex]

[tex]9x = -9[/tex]

-Divide both sides by [tex]9[/tex]:

[tex]\frac{9x}{9} = \frac{-9}{9}[/tex]

[tex]\boxed {x = -1}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]-1[/tex].

What is the solution to this inequality?
4x + 2 5 -14 or 3x-5 > 16
OA.
X3-4 or x>7
OB.
-45x<7
O C.
xs-5 or x>8
OD.
x=-4

Answers

Answer:

A is the answer x ≤-4 or x>7

Step-by-step explanation:

Answer:

The answer is A, because they both have answers for each one.

A triangle has angles of 30° 60° and 90° It is dilated by a scale factor of three give the angle measures of the dilation of the triangle

Answers

The scale factor will create a similar triangle and thus there will be no change in angles so angles will still be 30° 60° and 90°.

What is the scale factor?

You must specify the extent of the shape's enlargement when describing one.

The scale factor is the ratio of two dimensions such that one figure is large and another is small.

The scale factor is done due to the unpractical measurement of any figure.

Scale factor gives either a small or big similar image of a triangle, for example, if we have a triangle with vertices 2,4,6 and it is scaled by 1/2 then the resultant dimension will 1,2,3 but angles still remain the same.

Hence "The scale factor will create a similar triangle and thus there will be no change in angles so angles will still be 30° 60° and 90°".

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You walking against the wind. Your normal speed without the wind is 5mph. How long will it takes you to cover a distance of 5miles if the wind slow you down to 4/5 of your normal speed?

Answers

Answer:

1.25 hours

Step-by-step explanation:

So if you walk at 5 mph without wind, it takes you 1 hour to cover a 5 mile distance since you travel at a speed of 5 every hour. (5 mph). with the wind, your speed is 4 miles per hour because the wind slows you down to 4/5ths of your normal speed. 4/5ths of 5 is 4. It takes 1.25 hours to walk with the wind because 5(miles)/4(mph) is 1.25 hours. Hope this helps bud!

ANOTHER QUESTION PLEASE HELP

Answers

the answer is 4 your welcome

Answer:

c) 4

Step-by-step explanation:

Area of a square is its length times its length, or length²

Square root of 16 is 4

HELP ME PLEASEEEE!!
High School is selling Valentine's Day gifts as a fundraising event. One long stemmed rose costs $3.00 while one long stemmed carnation costs $1.50. If 50 orders were placed and they totaled $195, how many roses and carnations were ordered?

Answers

Answer:

11 roses and 12 carnations

Step-by-step explanation:

(11*3)+(1.50*3)=195

The diameter of a circle is 6 millimeters. What is the circle's area?
d=6 mm
Use 3.14 pi

Answers

Answer:

28.26 mm

Step-by-step explanation:

The equation used to solve for the area of a circle is;

A=pi x r^2.

The radius is half the diameter, 6mm/2= 3mm.

A= 3.14 x 3^2

3^2= 9

3.14 x 9 = 28.26 mm

or you could just type 3.14 x (3^2) = 28.26mm

7 cards are drawn from a standard deck of 52 playing cards. How many different 7-card hands are possible if the drawing is done without replacement?

Answers

Answer:

The number of different 7 card hands possibility is  133784560

Step-by-step explanation:

The computation of the number of different 7 card hands possibility is shown below:

Here we use the combination as the orders of choosing it is not significant

So,

The number of the different hands possible would be

= [tex]^{52}C_7[/tex]

= 52! ÷ (7! × (52 - 7)!)

= 133784560

Hence, the number of different 7 card hands possibility is  133784560

(04.04 LC)
On a coordinate grid, point T is at (2,-4) and point S is at (2,6). The distance (in units) between points T and S is
numbers, such as 2.)

Answers

Answer:

The distance between T and S is 10 units.

Step-by-step explanation:

Given the points

T(2, -4)S(2, 6)

[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

The distance between T and S is:

[tex]=\sqrt{\left(2-2\right)^2+\left(6-\left(-4\right)\right)^2}[/tex]

[tex]=\sqrt{\left(2-2\right)^2+\left(6+4\right)^2}[/tex]

[tex]=\sqrt{0+10^2}[/tex]

[tex]=\sqrt{10^2}[/tex]

[tex]=10[/tex]              ∵ [tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

Therefore, the distance between T and S is 10 units.

How many factors are in a B + CD + EF + GH

Answers

The given expression is

=ab+cd+ef+gh

The meaning of expression is equal to terms which contains variables and constants and operation between them is Addition, Subtraction,  Multiplication and Division.

→The expression consists of four terms which are, ab, cd, ef, and gh.

→Each term contains

Two factors.

plz mark as brainliest

When do you draw a hole in a piecewise function?

Answers

Answer:

you just draw a circle indicating that it is a hole. Your welcome

Help me plzzz i need help.

Answers

Answer:

Perimeter: 7.8Area: 3.1

Step-by-step explanation:

Perimeter = all sides added up together2.8 + 2.8 + 1.1 + 1.1 = 7.8Area = L × W2.8 × 1.1 = 3.08Round 3.08 to the nearest tenth: 3.08 → 3.1

I hope this helps!

A relation contains the points (negative2, 4), (negative1,1), (0,0), (1,1), and (2,4). Which statement accurately describes this relation?

Answers

Answer:

We have the points:

(-2,4), (-1, 1), (0, 0), (1, 1), (2, 4)

First, we can see a symmetry around the point (0, 0), then this is an even function. Where an even function is a function f(x) such that:

f(x) = f(-x)

And in this case we have:

f(-2) = 4 = f(2)

f(-1) = 1 = f(1)

Now, we can also assume that this is a quadratic function (or it behaves like a quadratic function near the range [-2, 2]).

Such that:

f(x) = a*x^2 + b*x + c

Now let's use the known points to find our equation, we start with (0, 0)

f(0) = 0 = a*0^2 + b*0 + c

then c = 0.

f(x) = a*x^2 + b*x

Now let's use the points (1, 1) and (-1, 1)

f(1) = a*1^2 + b*1 = 1 = a*(-1)^2 + b*-1

       a + b = a - b

           +b = -b

           2*b = 0

Then we must have b = 0

f(x) = a*x^2

And now we can use the point (2, 4)

f(2) = 4 = a*2^2 = a*4

Then  a = 1.

Our function is f(x) = 1*x^2

Given the point and slope write the equation of the line (6, -6); slope = 5/6

Answers

Answer:

y=5/6x-11

Step-by-step explanation:

Slope intercept form: y=mx+b

With slope: y=5/6x+b

Replace x with 6 and y with -6

[To figure out which one is x or y remember (x,y) so if you compare (6,-6) then you will find that 6 is x and -6 is y]

-6=5/6(6)+b

Simplify:

-6=5+b

Subtract 5 on both sides:

-11=b or b=-11

Answer:y=5/6x-11 (Replace the b in y=5/6x+b with -11 since -11 is equal to b)

Hope this helps!


Which statements best describes the difference between interest and debt

Answers

Answer:

I think the answer is C, interest is a fee charged for borrowing money, dept is the total amount of money owed.  

Evaluate the expression 2x^2-y^1+3x^0 for x=3 and y=7

Answers

Answer:

14

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

For many important processes that occur in the body, direct measurement of characteristics of the process is not possible. In many cases, however, we can measure a biomarker, a biochemical substance that is relatively easy to measure and is associated with the process of interest. Bone turnover is the net effect of two processes: the breaking down of old bone, called resorption, and the building of new bone, called formation. A biomarker for bone formation measured was osteocalcin (OC), measured in the blood. The units are nanograms per milliliter (ng/ml). For the 31 subjects in the study the mean was 33.4 ng/ml. Assume that the standard deviation is known to be 19.6 ng/ml.

Required:
Give the margin of error and find a 95% confidence interval for the mean TRAP amount in young women represented by this sample.

Answers

Answer:

The margin of error is  [tex]E = 6.9 [/tex]

The 95% confidence interval is  [tex] 26.5  <  \mu < 40.3 [/tex]  

Step-by-step explanation:

From the question we are told that

    The sample size is  n  =  31

     The mean is  [tex]\mu = 33.4 \ ng/ml[/tex]

      The standard deviation is  [tex]\sigma = 19.6 \ ng/ml[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>  [tex]E = 1.96  *  \frac{19.6  }{\sqrt{31 } }[/tex]

=>  [tex]E = 6.9 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=> [tex] 33.4  - 6.9 <  \mu < 33.4  +  6.9 [/tex]

=> [tex] 26.5  <  \mu < 40.3 [/tex]  

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