SOLUTION: Find the volume of cylinder of a height 4cm whose total surface area is 484sqcm

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Question 670562: Find the volume of cylinder of a height 4cm whose total surface area is 484sqcm
Found 2 solutions by 44214881, Alan3354:
Answer by 44214881(1)   (Show Source): You can put this solution on YOUR website!
I'm only in 6th grade. Sorry I really wish I could help you. I need he'll myself
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Find the volume of cylinder of a height 4cm whose total surface area is 484sqcm
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SA of a cylinder including top and bottom is






Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=324.123969825909 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 7.00172163846879, -11.0017216384688. Here's your graph:

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Ignore the -11 solution.
r = 7 (very close to 7)
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cc
Vol =~ 616 cc
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