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Darya [45]
3 years ago
15

Find the altitude of a cylinder with with a radius of 9 and a surface area of approximately 791.68 units2.

Mathematics
1 answer:
Vika [28.1K]3 years ago
4 0

In this question , it is given that we have a cylinder with with a radius of 9 and a surface area of approximately 791.68 units square.

The formula of surface area of cylinder is

A= 2 \pi r^2 + 2 \pi r h

Substituting the values of A and r, we will get

791.68 = 2* \pi * 9^2  + 2 * \pi * 9*h
\\
791.68 = 162 \pi + 18 \pi h
\\
791.68 -162 \pi = 18 \pi h
\\
h = \frac{791.68 -162 \pi}{18 \pi}
\\
h =5 units

So the height of the cylinder is 5 units .


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The dimensions are 51.86 and 23.14

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