A solid is formed by removing a cone from inside a cylinder that shares the same base and height. The cylinder has radius 5 and height 12.…

The cylinder has volume $\pi r^2h=\pi(25)(12)=300\pi$. The cone with the same base and height has volume $\frac{1}{3}\pi r^2h=100\pi$. The remaining solid is $300\pi-100\pi=200\pi\approx628.3$, so the answer is $628$, choice J. Choice H ($942$) is the cylinder's volume alone, with no cone removed. Choice F ($314$) is the cone's volume only. Choice G ($1257$) equals $400\pi$, which would be the result if the cone volume were added to the cylinder and then doubled, and it is larger than the cylinder itself, so it cannot be the volume of what remains.