Mathematics High School

A cylinder has a diameter of 20cm.

The height of the cylinder is 3/5 the length of the diameter.

Calculate the volume of the cylinder in terms of π

Answers

Answer 1

Answer:

V = 1200π

Step-by-step explanation:

Volume of a cylinder formula:

V = πr²h

Let's find the height of the cylinder by multiplying 20 cm by 3/5.

20 * 3/5 = 60/5 = 12 cm

The radius is 1/2 of the diameter, so:

20 * 1/2 = 20/2 = 10 cm

Substitute 12 for h and 10 for r into the volume formula.

V = π(10)²(12)

Simplify.

V = π * 100(12)  V = π * 1200

The volume of a cylinder, in terms of π, is V = 1200π.

Related Questions

How many groups of ten are there in 230

Answers

Answer:

23

Step-by-step explanation:

230/10=23

since it got deleted last time -_-

Ray cuts out a figure that has 4 equal sides and no right angles. What is the best name for the figure ?
A) trapezoid
B) Square
C) Rhombus
D) Rectangle

Answers

C. Rhombus

Because it has 8 sides

Can someone help me?

Answers

Answer:

Purple -3 is the answer

Step-by-step explanation:

We start by opening the bracket

That would be;

x-x-3

= 0-3 = -3

So selecting the correct option, we can see that our answer is purple

Kristin conducted an experiment in her science class to see how water drained from a contamer The given graph shows the data
that Kristin collected as a function of the height of the water over time

Krisin's two most accurately plotted points for the rate of flow of the water occurred when the height of the water was
fifty-five centimeters after four seconds and when the height was twenty centimeters after fourteen seconds
Use these two data points to determine the equation for the line of best fit for Krisin's experiment

Answers

Answer:

y = -3.5x + 69.

Step-by-step explanation:

PLZ I HAVE ANOTHER ONE HELP

Answers

Answer:

LORD SIMP

Step-by-step explanation:

 How do I know whether this is a function or not? And can someone EXPLAIN the steps on how to determine on how it would be a function please?

Answers

Answer:

Yes

Step-by-step explanation:

A function would be f(x), a output for each x input.

The slope intercept form is y - mx + b! *keep this in mind*

If you graph this as well, it would be easier to see if its a function too. If the line crosses through it once, it is indeed a function. If it doesn't, it isn't

Hope this helps

What is the equation of the line that is parallel
to the line 3x + 4y = 2 and passes through the point (4,-1)?

Answers

..........................i thought it was easier to upload the photo with the work

HELP PLEASE!! Identify the function shown in this graph. ​

Answers

the answer is d because the line is cutting thru the x axis on 1/3 and then the line cuts thru the y axis on -2 so the answer would be 1/3x-2

Answer:

A. y=3x-2

hope this help



Which of these equations is in slope intercept form?
O 2x + 4y = 24
O y-6 = -1/2(x-0)
O y=-1/2x+6
Y1-Y2/X1-X2

Answers

Answer:

[tex]y = \frac{1}{2} x + 6[/tex]

Step-by-step explanation:

Remmeber that the slope-intercept form is:

[tex]y = mx + b[/tex]

What is the value of x in the solution to the system of equations below?
15x - 12y = 13

30x + 9y = 4

Answers

Answer:

1/3

Step-by-step explanation:

Use the elimination method.

15x - 12y = 13

30x + 9y = 4

If you add both equations you will not cancel out any variables, so you need to multiply one of the equations by something. Multiply the first equation by -2 to cancel out the x values.

-2(15x - 12y = 13)

30x + 9y = 4

You should have these two equations now:

-30x + 24y = -26

30x + 9y = 4

Add them together now. You should get this now.

33y = -22

Divide both sides by 33. You should get y = -2/3

Now, substitute the y value into any of the two equations that you started with. Let's substitute the y value for the second equation.

30x + 9 (-2/3) = 4

30x - 6 = 4

30x = 10

30     30   (divide 30 and 10 by 30)

x = 1/3

Please help! The first one to answer correctly I'll give 200 points and the brainliest
The population of a city increases by 4,000 people each year. In 2025 the population is projected to be 450,000 people. What is an equation that gives the city's population p (in thousands of people) x years after 2010?
A.p=4x+50
B.p-450=4(x-5)
C.p-15=4(x-450)
D.p=4x+15

Answers

Answer:

fgfhdfg

Step-by-step explanation:

c

A rectangular book measures 3 x 5. What is the length of its
diagonal?

Answers

let's pythagorean theorem!
a^2 + b^2 = c^2
a and b are the sides, c is the diagonal
3^2 + 5^2 = c^2
9 + 25 = c^2
34 = c^2
5.83 = c

Find the​ x-intercept and the​ y-intercept of the graph of the equation 6x+2y=36

Answers

X intercept is 6 let y=0 to solve for x so 6x=36, so X=6. And Y is 18, let x = 0, 2y=36, Y=18

Find the product of 5/6 and 42

Answers

Answer: Its 35 hope this helped

SOMEONE PLEASE ANSWER ALL 7 QUESTIONS DUE IN 10 MINUTES WILL MARK AND 5 STARS!!!

Answers

It will take you two minutes and 7 seconds

I NEED HELP ON THIS PLEASE​

Answers

Answer:

5 1/3

Step-by-step explanation:

i think

simplify the expression so there is only one positive power for the base, -5.​

Answers

Answer: The answer is C

Answer:

the anwer is c ig

Step-by-step explanation:

Hector is finding the volume of a cone and the volume of a cylinder. Both the cone and the cylinder have a radius of 3 inches and a height of 5 inches. What is the volume, in cubic inches, of the cone?

Answers

Answer:

the volume of the cone is

15in^3

Step-by-step explanation:

Step one:

parameters of the cone

radius r = 3 in

height h= 5 in

Step two:

the expression for the volume of the cone is

V= 1/3πr^2h

substitute

[tex]V= 1/3*3.142*3^2*5\\\\V=1/3*45\\\\V=15 in^3[/tex]

6·(10-x)
helppp plssss

Answers

Answer:

6(10-x)

60-6x

Step-by-step explanation:

prove me wrong

Angle ABD is 90°.
36ο
B
What is the measure of ZABC?
Ο Α. 369
Ο Β. 549
Ο Ο Ο Ο Ο
Ο C. 90°
Ο D. 1269
Ο Ε. 144

Answers

Answer:

a

Step-by-step explanation:

368

Answer:

answer is 54. Since angleABD - angleCBD = angleABC

THEREFORE,. 90-36

A video game displays 88 frames in 4 seconds on Penelope's computer. What is the rate in frames per second?
A.
21 frames per second
B.
20 frames per second
C.
22 frames per second
D.
23 frames per second

Answers

Answer:

it's answer is C 22 frames per second

need help asap!!!
What is the solution of the following system?


Use the substitution method.


{y+7=3x6x−2y=12



The only solution is (14, 12) .


The only solution is (12, 14) .


There is no solution.


There are an infinite number of solutions.

Answers

Answer:

there is no solution

Step-by-step explanation:

y + 7 = 3x

6x - 2y = 6    which can be simplied to be 3x - y = 6  (divide by 2)

let y = 3x - 7

substitute:  3x -(3x - 7) = 6

                  3x - 3x + 7 = 6

                              7 ≠ 6  therefore, no solution

Noah drew 9 hearts, 6 stars, and 12 circles. What is the ratio of circles to hearts

Answers

Answer:

12:9

Step-by-step explanation:

Answer:

Step-by-step explanation:

12:9

What is the value of 4(2f-3d)+2(2d+e)​

Answers

Answer:

−8d+8f+5.436564

Step-by-step explanation:

There are 372 players in a tennis tournament. In each round, half of the players are eliminated. Which function can be used to find the number of players remaining in the tournament at the end of x rounds?​

Answers

Answer:show ur homework page I have the same one I think

Step-by-step explanation:

What is the rule for the reflection?

Answers

Answer:

abcdefghijklmnop

Step-by-step explanation:

qrstuvwxy and z

Answer:

y axis (X,Y) -> (-X,Y)

Write an equation in slope-intercept form for the graph shown.

Answers

Answer:

y = -3x + 2

Step-by-step explanation:

b is your y intercept, where the line crosses the y axis

m is your slope, since the line is going down we know it is negative

the slope was -6/2, which simplifies to -3

Solve: (4hj)^0
A. 0
B. 4h^1j^1
C. 4
D. 1

Answers

Answer:

Any number powered to zero, the answer to the equation will be 1

Determlne the circumference of a circle with a radius of 8 meters.
O 50.2 meters
O 100.5 meters
O 201.0 meters
O 25.1 meters

Answers

Answer:

The first one

Step-by-step explanation:

answer = 50.2

Answer:

50.2

Step-by-step explanation:

Can someone help me please

Answers

Answer: A) m = 9, n = 9

==========================================================

Explanation:

This is a 45-45-90 right triangle. Any triangle of this form is isosceles, where the two legs are the same length. In this case, m and n are those two legs. So m = n.

We can then apply the Pythagorean theorem to say

a^2 + b^2 = c^2

m^2 + n^2 = (9*sqrt(2))^2

m^2 + m^2 = 9^2*(sqrt(2))^2

2m^2 = 81*2

m^2 = (81*2)/2

m^2 = 81

m = sqrt(81)

m = 9

As a shortcut, the hypotenuse of a 45-45-90 triangle is equal to sqrt(2) times the length of either leg. If m is the length of the leg, then m*sqrt(2) is the length of the hypotenuse. So in a sense, we take this thought process backwards to go from a hypotenuse 9*sqrt(2) to a leg length of 9.

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