Yuri A.

asked • 02/15/23

A cylinder has a radius of 10 millimeters. Its volume is 5,338 cubic millimeters. What is the height of the cylinder? Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth

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1 Expert Answer

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Doug C. answered • 02/15/23

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The volume of a right circular cylinder is found using the formula V = πr2h,


The idea is to substitute what you know into the formula and solve for the missing value (in this case h).


5338 = (3.14)(10)2h


To make is a bit easier to see what happens now, simplify the numerical coefficient of h.


5338 = 3.14(100)h

5338 = 314h


Now divide both sides of the equation by 314 to find h.


h = 5338/314 = ??



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