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A right circular cylinder with radius $r$ and height $h$ has the surface area $S$ (in square units) given by the formula $S=2 \pi r(r+h) .$  Find the surface area of a cylinder with radius 6 in. and height 9 in. Leave the answer in terms of $\pi$.

in Mathematics by Platinum (102k points) | 1.2k views

1 Answer

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Evaluate the expression $2 \pi r(r+h)$ for $r=6$ and $h=9$.
S &=2 \pi r(r+h) \\
&=2 \pi(6)[(6)+(9)] \\
&=2 \pi(6)(15) \\
&=180 \pi
The surface area is $180 \pi$ square inches.
by Platinum (102k points)

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