Question

1. the formula for the volume of a cone is:

a. $v = \pi rh^{2}$
b. $v = \pi r^{2}h$
c. $v = \frac{1}{3}\pi r^{2}h$
d. $v = \frac{1}{2}\pi r^{2}h$

Explanation:

The volume formula of a cone is derived from the relationship between a cone and a cylinder with the same base radius \(r\) and height \(h\). A cone's volume is one - third of the volume of a cylinder (\(V_{cylinder}=\pi r^{2}h\)).

Answer:

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