A cone has radius 6 and height 10. Which value is closest to its volume?

The volume of a cone is $V=\frac{1}{3}\pi r^2h=\frac{1}{3}\pi(6^2)(10)=\frac{1}{3}\pi(360)=120\pi\approx377$, choice G. Choice J ($1{,}131$) is the volume of a cylinder with the same base and height, $360\pi$, which is exactly three times the cone. Choice H ($754$) is $240\pi$, twice the correct value, which would come from using $\frac{2}{3}$ in place of $\frac{1}{3}$. Choice F ($188$) is half the correct volume. A cone always holds one third as much as the matching cylinder, which gives a quick way to check the answer.