SOLUTION: The formula for the surface area S of a cylinder is S=2πr^2+2πr2h. Solve the formula for the height h.

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Question 1092432: The formula for the surface area S of a cylinder is S=2πr^2+2πr2h. Solve the formula for the height h.
Found 2 solutions by DrSteve, MathTherapy:
Answer by DrSteve(7) About Me  (Show Source):
You can put this solution on YOUR website!
This one is fun, and easy in the end!
S=2%2Api%2Ar%5E2+%2B+2%2Api%2Ar%5E2%2Ah
subtract 2%2Api%2Ar%5E2 from both sides to give
S-2%2Api%2Ar%5E2+=+2%2Api%2Ar%5E2%2Ah
then isolate h by dividing both sides by 2%2Api%2Ar%5E2
this will give %28S-2%2Api%2Ar%5E2%29%2F%282%2Api%2Ar%5E2%29+=+h
which simplifies to:
h+=+S%2F2%2Api%2Ar%5E2+-+1

yay!

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
The formula for the surface area S of a cylinder is S=2πr^2+2πr2h. Solve the formula for the height h.
Formula: matrix%281%2C3%2C+SA%2C+%22=%22%2C+2+%2A+pi+%2A+r%5E2+%2B+2+%2A+pi+%2A+r+%2A+h%29

matrix%281%2C3%2C+SA%2C+%22=%22%2C+2+%2A+pi+%2A+r%28r+%2B+h%29%29 ------- Factoring out 2+%2A+pi+%2A+r

matrix%281%2C3%2C+SA%2F%282+%2A+pi+%2A+r%29%2C+%22=%22%2C+r+%2B+h%29 --------- Dividing by 2+%2A+pi+%2A+r

highlight_green%28matrix%281%2C3%2C+SA%2F%282+%2A+pi+%2A+r%29+-+r%2C+%22=%22%2C+h%29%29 -------- Subtracting r

BTW, your formula is WRONG!