Solid A is a cone of radius 3 cm and height 12 cm. Solid B is a cylinder of radius 3 cm and height 4 cm. Which statement is correct?

$A=\frac{1}{3}\pi (9)(12)=36\pi {\text{cm}}^3$ and $B=\pi (9)(4)=36\pi {\text{cm}}^3$, so they are equal. A cone matches a cylinder of the same radius whenever the cone is three times as tall, which is the case here $(12=3\times 4)$. The other options come from comparing the heights 12 and 4 while forgetting that the cone carries a factor of $\frac{1}{3}$.