A cylinders volume can be calculated by the formula V=pir^2h, where V stands for volume and R for the base radius and H for the cylinders height.

Use the formula to calculate the cylinders volume if its base's radius is 4 meters, and its height is 9 meters

This cylinders volume, in terms of pi, is _________
This cylinders volume, rounded to the hundredth place, is _________

Answers

Answer 1

Answer:

This cylinders volume, in terms of pi, is 144π m³

This cylinders volume, rounded to the hundredth place, is 452.39 m³

Step-by-step explanation:

volume of cylinder:

→ πr²h

→ π(4)²(9)

→ 144π

→ 452.39 m³ ......rounded to nearest hundredth

Answer 2
r=4mg=9m

[tex]\\ \tt\hookrightarrow V=\pi r^2h[/tex]

[tex]\\ \tt\hookrightarrow v=\pi 4^2(9)[/tex]

[tex]\\ \tt\hookrightarrow v=16(9)\pi[/tex]

[tex]\\ \tt\hookrightarrow v=144\pi[/tex]

[tex]\\ \tt\hookrightarrow v=144(3.14)[/tex]

[tex]\\ \tt\hookrightarrow v=452.16m^3[/tex]


Related Questions

whats greater -5 or-6

Answers

Answer:

-5

Step-by-step explanation:

-5 is closer to being a positive number

Answer:

-5 is greater than -6

Step-by-step explanation: Because when we are talking about negative numbers the bigger number is always going to be the smallest and the smallest number is always going to be the the greater number. Hope this helps!!:)

Help please. Im stuck

Answers

Answer:

16 units squared

Step-by-step explanation:

First, calculate the distance between (0, 0) and (0, 4). The distance is in y, so there are 4 units in-between.

Next, calculate the distance between (0, 0) and (4, 0). This time, the distance is in x, but it is still four.

We know the dimensions of the shape are 4x4 so we just multiply.

4*4=16

75 is 60% of what number? 30 45 125 450

Answers

Answer:

60% of 125

Step-by-step explanation:

60% of 30 = 18

60% of 45 = 27

60% of 125 = 75

60% of  450 = 270

branliest pls

Answer:

125

Step-by-step explanation:

i took the test :D

The Gift Basket Store had the following premade gift baskets containing the following combinations in stock. Cookies Mugs Candy Coffee 20 13 10 Tea 12 10 12 Choose 1 basket at random. Find the probability that it contains a. Coffee or candy b. Tea given that it contains mugs c. Tea and cookies

Answers

Using it's concept, it is found that the probabilities are:

a. 0.7143 = 71.43% probability that is contains coffee or candy.

b. 0.4348 = 43.48% probability that it contains tea, given that it contain mugs.

c. 0.1558 = 15.58% probability it contains tea and cookies.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Item a:

There is a total of 20 + 13 + 10 + 12 + 10 + 12 = 77 baskets, of which 20 + 13 + 10 + 12 = 55 contain coffee or candy, hence:

[tex]p = \frac{55}{77} = 0.7143[/tex]

0.7143 = 71.43% probability that is contains coffee or candy.

Item b:

13 + 10 = 23 contain mugs, of which 10 contain tea, hence:

[tex]p = \frac{10}{23} = 0.4348[/tex]

0.4348 = 43.48% probability that it contains tea, given that it contain mugs.

Item c:

Out of the 77, 12 contain tea and cookies, hence:

[tex]p = \frac{12}{77} = 0.1558[/tex]

0.1558 = 15.58% probability it contains tea and cookies.

More can be learned about probabilities at https://brainly.com/question/15536019

Divide 180 into two parts such that the larger is 16 more than three times the smaller. Pls help

Answers

x = the larger

y = the smaller

x+y = 180

x = 180 - y (eq 1)

x = 16 + 3y (eq 2)

substitution eq 1 to eq 2

[tex]\tt 180-y=16+3y\\\\164=4y\rightarrow y=41, then~x=180-41=139[/tex]

If.you are missing a term in your
polynomials (both dividend and divisor),
you must put a zero as a coefficient
place holder for that term.

Only for the dividend
False
Only for the divisor
True

Answers

Answer:

True

Step-by-step explanation:

You need a place holder in both the dividend and the divisor when dividing polynomials.

Sense or nonsense? Pete says that to write 4/6 as 2/3, you combine pieces, but to write 4/6 as 8/12, you break apart pieces does this make sense?

Answers

In order to write 4/6 as 2/3 we would break apart pieces and to write 4/6 as 8/12 we would combine pieces.

What are fractions?

A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below.

In order to write 4/6 as 2/3 we have to express in its simplest form. This means that you have to divide 4/6 by 2. In order to write 4/6 as 8/23, multiply 4/6 by 2.

To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498

The Schwartz family spent a total of $111. 75 for Internet service for 3 months. Each month they received $5. 50 as a credit on the bill. Which equation and solution shows the cost of their monthly Internet service before the credit? 3 (x 5. 50) = 111. 75; the monthly Internet service is $31. 75 3 (x minus 5. 50) = 111. 75; the monthly Internet service is $42. 75 One-third (x minus 5. 50) = 111. 75; the monthly Internet service is $42. 75 One-third (x 5. 50) = 111. 75; the monthly Internet service is $31. 75.

Answers

It's b} the monthly Internet service is $31. 75 3 (x minus 5. 50) = 111. 75

a basketball team played 30 games. they won 22 . what is the ratio of games won to games lost ?

Answers

The answer is 22:8 because if they played a total of 30 games and won 22 that means they lost 8

Answer:

22:8

11:4

Step-by-step explanation:

for every 22 games won, there was a loss of 8 games

simplify...

for every 11 games won, there was a loss of 4 games

let me know if this helps :3

Jayce made a scale drawing of the elementary school. He used the scale 7 centimeters = 1 meter. What is the drawing's scale factor? Simplify your answer and write it as a fraction.

Answers

Answer:

Is this multiple choice or do you have to do it on your own with your own answer?

Step-by-step explanation:

Type the missing number that makes these fractions equal 1/ =2/4


Answers

Answer:

1/2=2/4

Step-by-step explanation:

if you simply 2/4 it becomes 1/2. i hope that's what you were asking for.

Answer:

2

Step-by-step explanation:

Simplify 2/4 to give 1/2
Just divide top and bottom by 2

please Please PLease help m with these 2 please show work and explain how to do this

Answers

Answer:

  5.  x = 7

  6.  x = 13; YZ = 28

Step-by-step explanation:

It can help to start by writing the similarity statement for each figure. To do that, you can identify corresponding features, then work around the figure in a direction that maintains the correspondence of the vertices. Here the figures are dilated, and problem 5 has the figure rotated. Since there is no reflection involved, the corresponding vertices remain in clockwise order.

Once you have written the similarity statement, you can identify the values given for corresponding parts. Here, the values are all for side lengths (not angles). Corresponding sides will have their vertices in the same relative position in the similarity statement.

5.

Working counterclockwise from the acute angle, we have ...

  KNML ~ PSRQ

Then corresponding sides are ...

  KN = 7x -9 . . . . PS = 60

  NM = not given . . . . SR = not given

  ML = 4x +4 . . . . RQ = 48

  LK = not given . . . . QP = not given

Now, you can write a proportion that involves corresponding sides. The main point here is to put corresponding parts in the same relative locations in the proportion. We can write this a couple of ways:

  KN/ML = PS/RQ   ⇔   (7x -9)/(4x +4) = 60/48

or

  KN/PS = ML/RQ   ⇔   (7x -9)/60 = (4x +4)/48

We note here that solution is generally easier if the variable is put in the numerator of the expression. We might choose the latter form for that reason. We might choose the first form because we know we can reduce the fraction 60/48 to 5/4, simplifying the problem a bit.

Using the second form of the proportion, we can solve it as follows:

  (7x -9)/60 = (4x +4)/48

  4(7x -9) = 5(4x +4) . . . . . . multiply by the LCM of 60 and 48, which is 240

  28x -36 = 20x +20 . . . . . eliminate parentheses

  8x = 56 . . . . . . . . . . . add 36-20x to both sides

  x = 7 . . . . . . . . . divide by 8

__

6.

Counterclockwise from S, the similarity statement can be written ...

  ΔSYZ ~ ΔSRT

Corresponding parts are ...

  SY = not given . . . . SR = not given

  YZ = 2x +2 . . . . RT = 3x -7

  ZS = 40-5 = 35 . . . . TS = 40

A suitable proportion is ...

  (2x +2)/35 = (3x -7)/40

  8(2x +2) = 7(3x -7) . . . . . . . . multiply by 280

  16x +16 = 21x -49 . . . . . . eliminate parentheses

  65 = 5x . . . . . . . . . add 49-16x to both sides

  x = 13 . . . . . . . divide by 5

  YZ = 2x +2 = 2(13) +2

  YZ = 28

A circle is divided into 10 equal parts what is the angle measure of four of those parts

Answers

Answer:

Four of those parts will have 144 degrees

Explanation:

                          A full circle will always have 360 degree

If the circle is divided into 10 equal parts,

The angle shall divide in 10 parts:

Each slice angle: [tex]\frac{360}{10}[/tex] = 36 degrees.

1 parts has 36 degrees; so:

Four parts will have: 36 * 4 = 144 degrees.

Question
A sandbox in the shape of a rectangular prism measures 7 feet by x feet by 9 feet. Write a simplified expression for the volume (in cubic feet) of the sandbox.

Answers

Answer:

63x ft³

Step-by-step explanation:

To find the the volume of a rectangular prism you multiply all the dimensions (7 feet, x feet, and 9 feet in this case).

7×x×9=

63×x=

Volume= 63x ft³

3. James wanted to buy a used car for $6,500. He made a down payment of $1,500 and agreed to pay $155 a month for 4 years. How much interest did he pay?​

Answers

6500 - 1500 = 5000
12 months × 4 years = 48 months
155 × 48 = 7440
7440 - 5000 = 2440

answer: $2440

Solve the equation by factoring
2x^2=3x+2

Answers

Answer:

the correct answer would be x = -1/2 , 2

Step-by-step explanation:

hope this helps

Answer:

2x^2=3x+2

-3x

2x^2-3x=+2

-2

2x^2-3x-2 = 0

-2 x 2 = - 4

X to get - 4

Adds to get - 3

-4x1

-4 +1 = - 3

2x^2-4x + 1x -2

2x(x - 2) 1 (x-2)

(2x+1)(x-2)

(2x+1) =0

+1

2x = 1

÷2

x= 1/2 or 0.5

(x-2) = 0

+2

x = 2

x = 2 & x = 1/2

Hope this helps!

Which of the following shows the correct way to subtract

15 4/5 - 9 3/5?

Answers

Answer:subtract the whole numbers first then you do only the numerators and you got your answer

A small bus charges $3.50 per person for a ride from the train station to a concert. The bus will run if at least 3 people take it, and it cannot fit more than 10 people.
Function B gives the amount of money that the bus operator earns when n people ride the bus.
Which numbers make sense as inputs and outputs for this function?
i. 3-10
ii. 4-11
iii. 2-10
iv. 10-15

Answers

Answer:

the minimum amount of money that the operator earns when n people ride the bus is $10.5 and the maximum amount of money that the operator earns when n people ride the bus is $35.

Amount = 3.5n

Hello! is this correct?​

Answers

Answer:

Yes.

Step-by-step explanation:

Given equation:

7 * 5 * 4

Solve:

7 * 5 * 4= 35 * 4= 140.

Answer is 140 m³.

Yes, you are correct on this.

Sue has 18 sweets.
Tony also has 18 sweets.
Sue gives Tony x sweets.
Sue then eats 5 of her sweets.
Tony eats half of his sweets.
Write an expression for the number of sweets Sue and Tony have?

Answers

Answer:

see below

Step-by-step explanation:

18 - x - 5 = for sue

(18 + x)/2 = for tony

to put the combined total together

18 - x - 5 + (18 + x)/2

well the X's cancel out since it stays between them

18 - 5 + (18)/2

18 - 5 + 9

18 + 4

22 candies

(x-3)(x-2)
x(x-3)-3(x-2)

Answers

Answer:

(x-3)(x-2)

= x^2-2x-3x+6

= x^2-5x+6

x(x-3)-3(x-2)

= x^2-3x-3x+6

x^2-6x+6

Find the lettered angles.​

Answers

Answer:

a)  ∠a = 72°

∠b = 108°

b) ∠[tex]x[/tex] = 56°

c) ∠m = 95°

Step-by-step explanation:

Sum of interior angles of a polygon = (n − 2) × 180  
(where n is the number of sides)
If the side of a polygon is extended, the angle formed outside the polygon is the exterior angle.
The sum of the exterior angles of a polygon = 360°
The sum of angles on a straight line = 180°

a) This shape is a regular polygon with 5 sides.

Therefore, sum of the interior angles = (5 - 2) x 180 = 540°

Therefore, ∠b = 540 ÷ 5 = 108°

∠a = 180 - 108 = 72°

b) The sum of the exterior angles of a polygon = 360°

Therefore, 55 + 63 + 52 + 44 + 90 + [tex]x[/tex] = 360

304 + [tex]x[/tex] = 360

[tex]x[/tex] = 360 - 304 = 56°

c) The sum of the exterior angles of a polygon = 360°

Therefore, 40 + 40 + 35 + 40 + 50 + 60 + m = 360

265 + m = 360

m = 360 - 265 = 95

Please answer soon (60 points!)

Answers

Answer:

3.5

Step-by-step explanation:

We will divide 35 by 10.

35/10 = 3.5

Three vertices of a rectangle are (6,1), (3,1), and (3,8). What are the coordinates of the fourth vertex?

Answers

Answer:

Image result for Three vertices of a rectangle are (6,1), (3,1), and (3,8). What are the coordinates of the fourth vertex?

One would be to divide the rectangle into two triangles, then use the Pythagorean Theorem to find the distances between the points, and finally use Heron's formula to find the areas of the two triangles.

To find the area of a triangle where you know the x and y coordinates of the three vertices, you'll need to use the coordinate geometry formula: area = the absolute value of Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By) divided by 2.

Step-by-step explanation:

Convert 310 yards into feet.

Answers

Answer:

930 feet

Step-by-step explanation:

[tex]=310yards\\\\=310yards*3\\\\=930feet[/tex]

Note that to convert the yards into feet we must multiply the value by 3.

Answer:

930 feet

Step-by-step explanation:

There are 3 feet in 1 yard. It is given to you to convert 310 yards into feet. Since 3 feet = 1 yard, simply multiply 3 with the given yards to obtain the feets:

310 yards x (3 feet/1 yard) = 930 feet/310 yards.

930 feet is your answer.

~

Do the equations 5y−2x=18 and 6x=−4y−10 form a system of linear equations?

Answers

Yes, The equations 5y−2x=18 and 6x = −4y−10 form a system of linear equations.

For clear understanding refer to the attachment please! :)

machine A and machine B both make car parts

Answers

No no no no no no no no no no no no no no no no no

Answer:

?

Step-by-step explanation:

Add more to the problem

[:

While on a hot air balloon ride over Washington D.C., Sam spots the White House below. If the horizontal distance from the White House to the hot air balloon is 1,478 feet and the hot air balloon is 2,109 feet from the ground, what is the angle of depression from Sam to the White House?

Answers

Answer:

i need answer pls

Step-by-step explanation:

and then i can help

What is the value of X? Enter your answer in the box X=

Answers

Answer:

25

Step-by-step explanation:

by Pythagoras' theorem,

13^2=12^2 + x^2

169=144+x^2

x^2=169-144

x^2=25

√x=√25

therefore, x=25

WILL GIVE BRAINLIEST!! In this triangle, what is the value of x? enter your answer, rounded to the nearest tenth, in the box.​

Answers

x = 56.5 and rounded to the nearest tenth is still gonna be 56.5 but to the nearest TENS is 60 (Please give brainliest!!)

Step-by-step explanation:

His is a right triangle so you can use SOH CAH TOA :

Sine = opposite/ hypotenuse

Cosine= adjacent/ hypotenuse

Tangent = opposite/ adjacent

here you have the hypotenuse and are looking to solve for the adjacent side to angle measure 28

so you can set this up like this: cos(28)= x/64

now multiply both sides by 64 and you'll get x = 56.5 just make sure your calculator is in degrees not radians

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