How do I calculate the volume of a cylinder if the surface of the cylinder is 4239 cm². And the height is equal to the diameter of the base.

Expert Solution

Let h and r be the height and radius of given (assume to be right circular) cylinder respectively.

Let A and V be the total surface area and volume of the cylinder respectively.

A=2πr2+2πrh

Given that A=4239 and h=2r

4239=2πr²+2πr(2r)

6πr²=4239⟹πr²=42396

r=√(4239/6π)

V=πr²h=πr²(2r)=42396×√(2×4239/6π)≈21189.63

Ans: 21189.63 cm3

21189.63cm³

Nipun Maiti answered 2 years ago

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