How to Find the Volume of a Cylinder

The video tutorial explains how to solve a standardized math test question about finding the volume of a cylinder. It introduces the problem, which involves a cylinder with a radius of 3 inches and a height of 5 inches. The tutorial emphasizes that the answer should be in terms of pi and explains the formula for the volume of a cylinder: pi times the radius squared times the height. The instructor then demonstrates how to apply the formula by substituting the given values, calculating the volume step-by-step, and arriving at the final answer.

What are the given dimensions of the cylinder in the problem?

• Radius: 4 inches, Height: 6 inches

• Radius: 6 inches, Height: 4 inches

• Radius: 5 inches, Height: 3 inches

• Radius: 3 inches, Height: 5 inches

Which mathematical constant is used in the formula for the volume of a cylinder?

• Pi (π)

• Euler's number (e)

• Square root of 2

• Golden ratio (φ)

What is the formula for calculating the volume of a cylinder?

• Volume = 2πr²h

• Volume = πr² + h

• Volume = 2πrh

• Volume = πr²h

What is the result of squaring the radius of the cylinder?

• 15

• 12

• 9

• 6

What is the final volume of the cylinder in terms of π?

• 30π cubic inches

• 45π cubic inches

• 75π cubic inches

• 60π cubic inches