Volume of Cylinders, Cones, & Spheres

Front

What is the formula for the volume of a cylinder?

Back

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

Front

What is the formula for the volume of a cone?

Back

Volume = (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

Volume = (4/3)πr³, where r is the radius.

Front

What is a hemisphere?

Back

A hemisphere is half of a sphere.

Front

How do you find the volume of a hemisphere?

Back

Volume = (2/3)πr³, where r is the radius.

Front

What does 'radius' mean?

Back

The radius is the distance from the center of a circle or sphere to its edge.

Front

What does 'height' mean in the context of cylinders and cones?

Back

Height is the distance from the base to the top of the cylinder or cone.

Front

If a cylinder has a radius of 3 and a height of 4, what is its volume?

Back

Volume = π(3)²(4) = 36π.

Front

What is the volume of a cone with a radius of 2 and a height of 6?

Back

Volume = (1/3)π(2)²(6) = 8π.

Front

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

Back

Volume = (4/3)π(5)³ = (500/3)π.