Volume and Dimensions of Cylinders

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.

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.

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.

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.

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

• 14 inches

• 1.75 inches

• 7 inches

• 3.5 inches

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

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

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

In the second example, what is the radius if the diameter is 12 inches?

• 3 inches

• 6 inches

• 12 inches

• 24 inches

What is the height of the cylinder in the second example?

• 12 inches

• 9 inches

• 6 inches

• 18 inches

Calculate the volume of a cylinder with a radius of 6 inches and height of 9 inches.

• 1017.36 cubic inches

• 1020 cubic inches

• 2147.8 cubic inches

• 2000 cubic inches