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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