# Math

posted by .

The surface area of a cylinder is 200cm. The diameter is equal to the height. Find the radius.

• Math -

V= πr^2h, but h = r
so V=πr^3 = 200
r^3 = 200/π
r = appr. 4 cm .......(I had 3.9929)

• Scratch my reply - Math -

Forget this
Time to go to bed.

SA = 2πr^2 + 2πrh , but h=r
= 2πr^2 + 2πr^2 = 4πr^2

4πr^2 = 200
r^2 = 200/4π
r = 3.989 or appr. 4

Well, what do you know, the answers were the same.

• Math -

FYI
Reiny, I didn't see that you had already solved this problem before I answered the same same post below.

I noticed are answers were different.

The height = diameter, not radius.

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