Cylinder Volume and Height Calculations

Cylinder Volume and Height Calculations

Assessment

Interactive Video

Mathematics, Science

6th - 8th Grade

Practice Problem

Hard

Created by

Lucas Foster

FREE Resource

The video tutorial explains how to find the height of a cylinder given its volume. It begins by introducing the volume formula for a cylinder, which is the product of the base area (πr²) and the height (h). The tutorial then demonstrates how to calculate the base area using the given radius and solve for the height by dividing the volume by the base area. The process is broken down into clear steps, ensuring that viewers understand how to isolate and calculate the height. The video concludes with a recap of the steps involved in solving for the cylinder's height.

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for the volume of a cylinder?

PI R cubed

2 PI R squared

2 PI R times height

PI R squared times height

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does PI R squared represent in the context of a cylinder?

The circumference of the cylinder

The height of the cylinder

The volume of the cylinder

The base area of the cylinder

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving for the height of a cylinder given its volume?

Calculate the circumference

Find the base area

Determine the radius

Subtract the height

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the radius of a cylinder is 6, what is the value of PI R squared?

18 PI

12 PI

36 PI

24 PI

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the next step after substituting the known values into the volume formula?

Divide both sides by 36 and PI

Add 36 to both sides

Subtract 6 from both sides

Multiply both sides by PI

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the PI terms when you divide both sides of the equation by PI?

They double

They remain unchanged

They cancel out

They add up

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final height of the cylinder when the volume is 288 PI and the radius is 6?

8

12

10

6

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