Cylinder Volume and Dimensions Problems

This video tutorial covers the calculation of the volume of a cylinder using the formula V = πr²h. It includes examples of finding the volume, height, and radius of a cylinder, as well as converting volume from cubic feet to gallons. The tutorial emphasizes understanding the formula and applying it to different scenarios, including right and oblique cylinders.

What is the formula for the volume of a cylinder?

• V = 2πr²h

• V = πr²h

• V = 2πrh

• V = πr²

What is the base area of a cylinder if its radius is 5 inches?

• 25π square inches

• 10π square inches

• 5π square inches

• 50π square inches

In the example, what is the volume of a cylinder with a radius of 3 meters and a height of 6 meters, rounded to the nearest tenth?

• 54 cubic meters

• 169 cubic meters

• 169.6 cubic meters

• 54π cubic meters

If a cylinder has a diameter of 10 inches and a volume of 314 cubic inches, what is its height rounded to the nearest whole number?

• 6 inches

• 5 inches

• 4 inches

• 3 inches

If the volume of a cylinder is 314 cubic inches and the radius is 5 inches, what is the height?

• 6 inches

• 4 inches

• 3 inches

• 5 inches

What is the formula to find the height of a cylinder if the volume and radius are known?

• h = V / (2πr)

• h = V / (πr²)

• h = V / (2πr²)

• h = V / (πr)

What is the radius of a cylinder with a height of 8 feet and a volume of 226 cubic feet, rounded to the nearest whole number?

• 2 feet

• 3 feet

• 5 feet

• 4 feet

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

• 40 gallons

• 35 gallons

• 44 gallons

• 50 gallons

What is the approximate volume in cubic feet of a cylinder with a radius of 0.9 feet and a height of 2.3 feet?

• 7.85 cubic feet

• 4.85 cubic feet

• 6.85 cubic feet

• 5.85 cubic feet

How do you convert cubic feet to gallons?

• Divide by 3.14

• Multiply by 3.14

• Divide by 7.5

• Multiply by 7.5