Question

the surface area of a cylinder is approximately 640.56 square meters. the radius of the cylinder is 5 meters less than the height of the cylinder. to the nearest whole meter, what are the radius and height of the cylinder? the radius is approximately meters, and the height is approximately meters.

Answer 1

The radius of the cylinder is 2m and the height of the cylinder is 7m

The formula for the surface area of the cylinder is = 2Πr(h + r)

                    Where, r = radius of the cylinder

                                  h = height of the cylinder

We have been given that,

          Surface area of the cylinder  = 640.56 m^2

   Let height of the cylinder be x meters

     And radius of the cylinder will be (x-5)

Putting the required values in formula we get,

    2 * 3.14 * x (x - 5 + x) = 640.56

    6.28x(2x - 5) = 64.56

      2x^2 - 5x = 102

     2x^2 - 5x – 102 = 0

Now we will use quadratic formula to know the roots of x

 That is,  x = [5 ± √25 + 408]/4

                x = [5 ± 20.8]/4

x = (5 – 20.8)/4            and          x = (5 + 20.8)/4

x = -4                            and         x = 7

neglecting the negative value

Thus radius of the cylinder = 2m

And height of the cylinder = 7m

Learn more about surface area of cylinder here : brainly.com/question/10332927

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