SOLUTION: Janine made a cylindrical vase in which the sum of the lateral area and area of one base was about 3000 square centimeters. The vase had a height of 50 centimeters. Find the radius

Question 1021670: Janine made a cylindrical vase in which the sum of the lateral area and area of one base was about 3000 square centimeters. The vase had a height of 50 centimeters. Find the radius of the vase. Explain the method you would use to find the radius.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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Lateral Area==
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Area of base=
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Solved by pluggable solver: SOLVE quadratic equation with variable

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=13819.72 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 8.77865258748281, -108.778652587483. Here's your graph:

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ANSWER: The radius would be approximately 8.78 centimeters.
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