Volume of Cylinders, Cones, Spheres

Front

What is volume?

Back

Volume is the number of cubic units needed to fill the space occupied by a solid.

Front

Which shape has a circular base and tapers to a point?

Back

Cone

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

If the radius of a sphere is 5 ft, what is its volume?

Back

Volume = (4/3)π(5)³ = 523.6 ft³.

Front

If Cylinder A has a radius of 3 ft and height of 10 ft, what is its volume?

Back

Volume = π(3)²(10) = 282.74 ft³.

Front

Which cylinder will have a larger volume if Cylinder A has a radius of 4 ft and height of 5 ft, and Cylinder B has a radius of 3 ft and height of 7 ft?

Back

Cylinder A has a larger volume.

Front

What is the volume of a cylinder with a radius of 2 ft and height of 5 ft?

Back

Volume = π(2)²(5) = 20π ≈ 62.83 ft³.

Front

What is the volume of a cone with a radius of 3 ft and height of 4 ft?

Back

Volume = (1/3)π(3)²(4) = 12π ≈ 37.7 ft³.