Question

Which of the following is true about the relationship between the volume formulas for spheres, cylinders, and cones?

Answer 1

The volume formula for a sphere is V = 4/3πr^3, where r is the radius of the sphere. The volume formula for a cylinder is V = πr^2h, where r is the radius of the circular base and h is the height of the cylinder. The volume formula for a cone is V = 1/3πr^2h, where r is the radius of the circular base and h is the height of the cone.

All three formulas are true, and they are each specific to the shape they describe. However, it's possible to observe that the volume formula of a cone is 1/3 the volume of a cylinder with the same base and height.