Question

1. what is the formula for the volume of a cone?

a. ( 2pi r^{2}h )
b. ( pi r^{2}h )
c. ( \frac{1}{3}pi r^{2}h )
d. ( \frac{1}{3}pi rh^{2} )

Explanation:

The volume formula of a cone is derived from the relationship between cones and cylinders. A cone has one - third the volume of a cylinder with the same base radius \(r\) and height \(h\). The volume of a cylinder is \(V=\pi r^{2}h\), so for a cone, it is \(V = \frac{1}{3}\pi r^{2}h\).

Answer:

C. \(\frac{1}{3}\pi r^{2}h\)