SOLUTION: the surface area of a right cylinder is 324πcm2.if the radius and height are equal,find the length of the diameter

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Question 969385: the surface area of a right cylinder is 324πcm2.if the radius and height are equal,find the length of the diameter
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
A=2pi%2Ar%2Ah h for height or distance between the circular ends. A for area of surface.



If k=r=h, then A=2pi%2Ak%5E2

k%5E2=A%2F%282%2Api%29

k=sqrt%28A%2F%282pi%29%29

k=sqrt%28A%29sqrt%282pi%29%2F%282pi%29

highlight_green%28k=sqrt%28A%2A2pi%29%2F%282pi%29%29------This is also the radius.

The diameter is two times k=r;
diameter is highlight%28sqrt%28A%2A2pi%29%2Fpi%29.