Question

Given a soda can with a volume of 15 and a diameter of 2, what is the volume of a cone that fits perfectly inside the soda can?

Answer 1

Check the picture below.

so, a cone, that fits inside the cylinder, will have the same height "h" and radius "r".  Thus


$\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h\qquad \boxed{\pi r^2 h}=15 \\\\\\ \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}\implies V=\cfrac{\boxed{15}}{3}$