A storage tank for propane gas is to be constructed in the shape of a right circular cylinder of altitude 30 feet with a hemisphere attached to each end. Express V as function of r?.

Question

A storage tank for propane gas is to be constructed in the shape of a right circular cylinder of altitude 10 feet with a hemisphere attached to each end.

The radius R is yet to be determined.Express the volume V of the tank as a function of r.

Answer 1

Cylinder volume is πr²h = 10πr²

Two hemisphere volume = sphere volume (4/3)πr³

Total volume is the sum of these.

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