Volume of Cylinders, Cones, and Spheres

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h, where r is the radius and h is the height.

Front

How do you calculate the volume of a cone?

Back

V = (1/3)πr²h, where r is the radius and h is the height.

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where r is the radius.

Front

If a cylinder has a diameter of 20 feet, what is its radius?

Back

The radius is 10 feet, since the radius is half of the diameter.

Front

How do you convert diameter to radius?

Back

Divide the diameter by 2.

Front

What is the volume of a cylinder with a radius of 10 feet and a height of 3 feet?

Back

V = π(10)²(3) = 942 cubic feet.

Front

What is the volume of a sphere with a diameter of 20 cm?

Back

First, find the radius (10 cm). Then, V = (4/3)π(10)³ ≈ 4188.8 cubic cm.

Front

What units are used to measure volume?

Back

Common units include cubic feet, cubic centimeters, liters, and gallons.

Front

How does the volume of a cone compare to that of a cylinder with the same base and height?

Back

The volume of the cone is one-third that of the cylinder.

Front

What is the volume of a cone with a radius of 3 cm and a height of 10 cm?

Back

V = (1/3)π(3)²(10) = 28.3 cubic cm.