SOLUTION: calculate a diameter of a solid cylinder which has height of 82cm and total surface area of 2square meter

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Question 996793: calculate a diameter of a solid cylinder which has height of 82cm and total surface area of 2square meter
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
calculate a diameter of a solid cylinder which has height of 82cm and total surface area of 2square meter
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Total area = lateral area + 2 ends
=
2 sq meters = 20000 sq cms
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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=19456.3954473516 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 28.7430918574586, -110.743091857459. Here's your graph:

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Ignore the negative solution
r = 28.743 cm
d = 57.486 cm
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