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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.

Mathematics
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lateral area of cylinder = circumference * height\[A _{l}=2\times \pi \times r \times h\ ...........(1)\] area of base is given by\[A _{b}=\pi \times r ^{2}\ ...........(2)\] \[A _{l}+A _{b}=3000=(2\times \pi \times r \times 50)+(\pi \times r ^{2})\ ........(3)\] You can form a quadratic equation from (3) and one of the solutions is the radius.
is this the answer because i don't understand at all..lol

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Other answers:

The quadratic equation is as follows: \[\pi r ^{2}+100\pi r-3000=0\] You need to solve this to find r the radius of the vase.
8.78 cm
is my answer right 8.78 cm
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