A cylindrical can has a volume of 2in^(3). Express the surface area of the can as a function of its radius,r.

1 answer:

7 0

$V=2 \text{ in}^3\\
A=2\pi r (r+h)\\
h=?\\\\
V=\pi r^2h=2\\
\pi r^2h=2\\
h=\dfrac{2}{\pi r^2}\\
A=2\pi r\left(r+\dfrac{2}{\pi r^2}\right)\\
\boxed{A=2\pi r^2+\dfrac{4}{r}}
 
$

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