SAT Mathematics Practice Test 6

The volume of a cylinder can be found by using the formula $\mathit{V}=\mathit{\pi }{\mathit{r}}^2\mathit{h}$, where r is the radius of the circular base and h is the height of the cylinder. The smallest possible volume, in cubic inches, of a graduated cylinder produced by the laboratory supply company can be found by substituting 2 for r and $7.75$ for h, giving $\mathit{V}=\mathit{\pi }\left(2^2\right)\left(7.75\right)$.This gives a volume of approximately 97.39 cubic inches, which rounds to $97$ cubic inches. The largest possible volume, in cubic inches, can be found by substituting 2 for r and 8 for h, giving $\mathit{V}=\mathit{\pi }\left(2^2\right)\left(8\right)$.This gives a volume of approximately 100.53 cubic inches,which rounds to 101 cubic inches. Therefore, the possible volumes are all the integers greater than or equal to 97 and less than or equal to 101, which are 97, 98, 99, 100, and 101. Any of these numbers may be gridded as the correct answer.