Mathematics: The surface area of a cylinder is 520 ft.² The area of one of the bases is 254.34 ft.² find the height of the cylinder

D. 3,465 units^3 Step-by-step explanation:Just took the test on edge : ) Hope this helps!...

The surface area of a cylinder is 520 ft.² The - id52013385127, elizabethhubbe

paralaw61772

20.06.2021

The height is 0.2003ft

Step-by-step explanation:

Given

$Surface\ Area = 520$

$Base\ Area = 254.34$

Required

The height of the cylinder

The base area of the cylinder is:

$Base\ Area = \pi r^2$

This gives

254.34 = 3.14 * r^2

Divide by 3.14

81 = r^2

Take square root of both sides

$r = \sqrt{81$

r = 9

The surface area of a cylinder is:

$Surface\ Area = 2\pi rh + 2\pi r^2$

This gives

520 = 2*3.14* 9h + 2*3.14* 9^2

520 = 56.52h + 508.68

Collect like terms

56.52h = 520 -508.68

56.52h = 11.32

Solve for h

h = 11.32/56.52

h = 0.2003ft

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