Question

1. the formula for the volume of a cone is: a. v = \frac{1}{3}\pi r^{2}h b. v = \pi rh^{2} c. v = \frac{1}{2}\pi r^{2}h d. v = \pi r^{2}h

Explanation:

The volume formula for 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 such a cylinder. The volume of a cylinder is \(V=\pi r^{2}h\), so for a cone, \(V = \frac{1}{3}\pi r^{2}h\).

Answer:

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