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Volume and Dimensions of Cylinders

Volume and Dimensions of Cylinders

Assessment

Interactive Video

Mathematics

6th - 7th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

Mr. Simons explains how to find the volume of a cylinder, focusing on cases where the diameter is given instead of the radius. He clarifies the relationship between diameter and radius, showing how to calculate the radius from the diameter. The video includes two examples of calculating the volume of a cylinder using the formula V = πr²h, with step-by-step instructions. Mr. Simons encourages students to practice with homework examples and offers to help with any questions.

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11 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main purpose of the video tutorial?

To demonstrate how to find the volume of a cylinder using diameter.

To provide examples of real-world applications of cylinder volume.

To explain the difference between radius and diameter.

To teach how to find the volume of a cylinder using radius.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following best describes the diameter of a circle?

The distance around the circle.

The distance from one edge to the center.

The distance from the center to the edge of the circle.

The distance across the circle through the center.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the radius related to the diameter?

The radius is unrelated to the diameter.

The radius is twice the diameter.

The radius is equal to the diameter.

The radius is half the diameter.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a cylinder has a diameter of 7 inches, what is its radius?

14 inches

1.75 inches

7 inches

3.5 inches

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for the volume of a cylinder?

Volume = π × diameter² × height

Volume = π × radius × height

Volume = π × radius² × height

Volume = 2π × radius × height

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example with a diameter of 7 inches, what is the height of the cylinder used?

5 inches

10 inches

7 inches

3.5 inches

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the volume of a cylinder with a radius of 3.5 inches and height of 10 inches?

384.65 cubic inches

385 cubic inches

400 cubic inches

350 cubic inches

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