SOLUTION: The surface area of a cylinder is 408 square inches. Make an algebraic equation involving x ans solve with proper algebraic steps. radius is 5 inches. x is length.

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Question 264827: The surface area of a cylinder is 408 square inches. Make an algebraic equation involving x ans solve with proper algebraic steps.
radius is 5 inches. x is length.
Found 2 solutions by mananth, JBarnum:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
The surface area of a cylinder is 408 square inches. Make an algebraic equation involving x ans solve with proper algebraic steps.
radius is 5 inches. x is length.
surface area of a cylinder = 2(pi r 2) + (2 pi r)* h
2(pi r 2) + (2 pi r)* x=408
2*3.14*5^2 + 2*3.14*5 *x=408
2*3.14*5 *x=408- 2*3.14*5^2
x=(408- 2*3.14*5^2) / 2*3.14*5
x= (408-157) / 31.4
x= 251/31.4
x= 7.99 inches

Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
Mananth did this correctly im just going to make it easier to read.
surface area of a cylinder = 2%28pi%29r%5E2%2B2%28pi%29r%2Ah %28pi%29=3.1416
2%28pi%29r%5E2%2B2%28pi%29r%2Ax=408
2%28pi%295%5E2%2B2%28pi%295%2Ax=408
2%28pi%295%5E2-2%28pi%295%5E2%2B2%28pi%295%2Ax=408-2%28pi%295%5E2
%282%28pi%295%2Ax%29%2F2%28pi%295=%28408-2%28pi%295%5E2%29%2F2%28pi%295
x=%28408-2%28pi%295%5E2%29%2F2%28pi%295
x=%28408-2%2825%29%28pi%29%29%2F10%28pi%29
x=%28408-50%28pi%29%29%2F10%28pi%29
x=%28408-50%283.1416%29%29%2F10%283.1416%29
x=%28408-157.079%29%2F31.416
x=%28250.921%29%2F31.416
x=7.987 round to nearest 100th
x=7.99inches