Question

A drinking glass is in the approximate shape of a cone. The height of the cone is 12 inches, and the base diameter is 3 inches. What is the volume of the glass to the nearest tenth?

Answer 1

if the base diameter is 3 inches, that means its radius is half that, or 1.5 inches.

`\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=12\\ r=1.5 \end{cases}\implies V=\cfrac{\pi (1.5)^2 (12)}{3}\implies V\approx 28.3~in^3`