Posted by **aubrie** on Monday, May 17, 2010 at 7:08pm.

what are the dimensions of two cylinders where the first cylinder has a greater surface area and the second cylinder has a greater volume?

- Geometry -
**drwls**, Monday, May 17, 2010 at 8:14pm
There are an infinite number of possibilities. You need to provide more information, if you want a unique answer.

- Geometry -
**Reiny**, Monday, May 17, 2010 at 8:15pm
let the height be h, and the radius be r

Volume = πr^2h

Surface area = 2πr^2 + 2πrh

volume > SA

πr^2h > 2πr^2 + 2πrh, divide by πr

rh > 2r + 2h

rh - 2h > 2r

h > 2r/(r-2)

if SA > volume

then h < 2r/(r-2)

for both to be true,

h = 2r/(r-2)

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