Volume of prisms, pyramids, cylinders, cones, spheres

Front

What is the formula for the volume of a prism?

Back

Volume = Base Area × Height

Front

What is the formula for the volume of a pyramid?

Back

Volume = (1/3) × Base Area × Height

Front

What is the formula for the volume of a cylinder?

Back

Volume = π × r² × Height

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3) × π × r² × Height

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3) × π × r³

Front

How do you find the area of a circle?

Back

Area = π × r², where r is the radius.

Front

If a cylinder has a radius of 5 and a height of 10, what is its volume?

Back

Volume = π × 5² × 10 = 250π ≈ 785.4 cubic units.

Front

What is the relationship between the volume of a cone and a cylinder with the same base and height?

Back

The volume of the cone is 1/3 of the volume of the cylinder.

Front

How do you calculate the height of a prism if you know the volume and base area?

Back

Height = Volume / Base Area

Front

What is the diameter of a circle if the radius is 6?

Back

Diameter = 2 × Radius = 12.