Volume of prisms, pyramids, 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

How do you find 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

How do you calculate the volume of a pyramid?

Back

Volume = (1/3)Bh, where B is the area of the base and h is the height.

Front

What is the relationship between diameter and radius?

Back

Radius = Diameter / 2.

Front

If a cylinder has a radius of 3 and a height of 10, what is its volume?

Back

Volume = π(3)²(10) = 282.7 cubic units.

Front

What is the volume of a hemisphere?

Back

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

Front

How do you find the volume of a cylinder that is half full?

Back

Calculate the full volume and then divide by 2.

Front

What is the volume of a sphere with a radius of 39 miles?

Back

Volume = (4/3)π(39)³ = 248,474.8 cubic miles.

Front

What is the volume of a cone with a radius of 4 and a height of 9?

Back

Volume = (1/3)π(4)²(9) = 150.8 cubic units.