Cylinder and Cone Volume Formulas

This video tutorial reviews the volume formulas for cylinders, cones, and spheres. It explains how to calculate the volume of each shape using their respective formulas: V = Bh for cylinders, V = 1/3 Bh for cones, and V = 4/3 πr³ for spheres. The tutorial provides step-by-step examples, including finding the radius from the diameter and substituting values into the formulas to compute the volume.

What is the formula for the volume of a cylinder?

• V = 4/3πr³

• V = πr²h

• V = πr²

• V = 1/3πr²h

If the diameter of a cylinder is 5.2, what is the radius?

• 1.3

• 5.2

• 2.6

• 10.4

How do you calculate the area of the base of a cylinder?

• 2πr

• πr²

• πd

• r²

What is the volume of a cylinder with a base area of 21.23 and height of 11.2?

• 237.78 cubic feet

• 112.56 cubic feet

• 150.34 cubic feet

• 200.00 cubic feet

How is the volume of a cone related to the volume of a cylinder?

• It is half the volume of a cylinder.

• It is one third of the volume of a cylinder.

• It is twice the volume of a cylinder.

• It is equal to the volume of a cylinder.

What is the formula for the volume of a cone?

• V = 1/3πr²h

• V = πr²h

• V = 4/3πr³

• V = 2πr²h

If the radius of a cone is 4 and the height is 10, what is the base area?

• 50.24

• 40.00

• 16.00

• 25.12

What is the formula for the volume of a sphere?

• V = πr²h

• V = 4/3πr³

• V = 2πr²

• V = 1/3πr²h

If the diameter of a sphere is 12, what is the radius?

• 12

• 6

• 3

• 9

What is the volume of a sphere with a radius of 6?

• 904 cubic feet

• 600 cubic feet

• 1000 cubic feet

• 500 cubic feet