Posted by **Piggy** on Friday, March 2, 2012 at 10:26pm.

What is the height of a cylinder with a radius of 6 inches and a surface area of 168pi in^2?

- geometry -
**drwls**, Friday, March 2, 2012 at 10:36pm
Area = 2 pi R^2 + pi R H

Substitute 6 for R.

Area = 72 pi + 6 pi H

= 168 pi

Therefore

96 pi = 6 pi H

and

H = 16 (inches)

- geometry -
**Piggy**, Friday, March 2, 2012 at 11:52pm
the formula should be

s = 2piRH + 2piR^2

I follow your method and find the

H = 8. Thanks.

- geometry -
**drwls**, Saturday, March 3, 2012 at 2:07am
You're right. Senior moment.

Area = 2 pi R^2 + 2 pi R H = 168 pi

72 pi + 12 pi H = 168 pi

12 pi H = 96 pi

H = 8

Good work!

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