Cylindrical Volume and Radius Concepts

This video tutorial explains how to calculate the volume of a cylinder using the formula V = πr²h. It covers examples of finding the volume, height, and radius of a cylinder, and demonstrates how to round results to the nearest tenth or whole number. Additionally, it includes a practical example of converting the volume from cubic feet to gallons.

What is the formula for the volume of a cylinder?

• V = 2πr²h

• V = πr²

• V = 2πrh

• V = πr²h

In the formula V = πr²h, what does 'r' represent?

• Radius of the base

• Volume of the cylinder

• Diameter of the base

• Height of the cylinder

If the radius of a cylinder is 3 meters and the height is 6 meters, what is the volume in terms of π?

• 27π cubic meters

• 36π cubic meters

• 18π cubic meters

• 54π cubic meters

What is the approximate volume of a cylinder with a radius of 3 meters and a height of 6 meters, rounded to the nearest tenth?

• 168.5 cubic meters

• 169.0 cubic meters

• 170.0 cubic meters

• 169.6 cubic meters

Given a cylinder with a diameter of 10 inches and a volume of 314 cubic inches, what is the height of the cylinder?

• 7 inches

• 5 inches

• 4 inches

• 6 inches

If the diameter of a cylinder is 10 inches, what is the radius?

• 5 inches

• 10 inches

• 15 inches

• 20 inches

For an oblique cylinder with a height of 8 feet and a volume of 226 cubic feet, what is the radius?

• 4 feet

• 6 feet

• 5 feet

• 3 feet

Why do we not consider the negative square root when calculating the radius of a cylinder?

• Because it is a constant value

• Because the radius cannot be negative

• Because it is not a real number

• Because it is always positive

If a cylindrical barrel has a diameter of 1.8 feet and a height of 2.3 feet, what is its volume in cubic feet?

• 5.85 cubic feet

• 6.85 cubic feet

• 8.85 cubic feet

• 7.85 cubic feet

How many gallons of water can a cylindrical barrel hold if its volume is approximately 5.85 cubic feet?

• 44 gallons

• 45 gallons

• 46 gallons

• 47 gallons