# Hard SAT Math Question 8 — Video Explanation | 1600.now

Source: https://1600.now/hard/8

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8

Cylinders A and B are similar and have volumes of $1568\pi\ \text{ft}^3$ and $42336\pi\ \text{ft}^3$, respectively. If the height of cylinder A is $32$ ft and the surface area of cylinder B is $p\pi\ \text{ft}^2$, where $p$ is a constant, what is the value of $p$?  
Volume of a cylinder: $V = \pi r^2 h$  
Surface area of a cylinder: $A = 2\pi r^2 + 2\pi rh$