Volume of Spheres, Cones, and Cylinders

Front

What is the formula for the volume of a sphere?

Back

V = \frac{4}{3}(\pi r^3)

Front

What does B represent in the context of volume formulas?

Back

Area of Base

Front

What is the formula for the volume of a cone?

Back

V = \frac{1}{3}(\pi r^2 h)

Front

What is the formula for the volume of a cylinder?

Back

V = \pi r^2 h

Front

What is the radius of a sphere?

Back

The radius is the distance from the center of the sphere to any point on its surface.

Front

How do you find the volume of a cylinder with a diameter of 9 inches and a height of 32 inches?

Back

Use the formula V = \pi(4.5^2)(32).

Front

What is the relationship between diameter and radius?

Back

The radius is half of the diameter.

Front

What is the volume of a sphere with a radius of 5 cm?

Back

V = \frac{4}{3}(\pi (5)^3) = \frac{500}{3}\pi \text{ cm}^3.

Front

What is the volume of a cone with a radius of 3 cm and a height of 9 cm?

Back

V = \frac{1}{3}(\pi (3)^2 (9)) = 27\pi \text{ cm}^3.

Front

What is the volume of a cylinder with a radius of 4 cm and a height of 10 cm?

Back

V = \pi (4)^2 (10) = 160\pi \text{ cm}^3.