Question

The formula for the volume of a right circular cone is shown. Rewrite the formula so that it expresses the height h in terms of the volume V and base radius r.

Answer 1

Height of cone in term of volume is 3V / πr²

Given that;

Volume of cone = (1/3)(πr²h)

Find:

Height of cone

Computation:

We know that;

Volume of cone = (1/3)(πr²h)

We have to calculate height from above given formula.

V = (1/3)(πr²h)

3V = πr²h

3V / πr² = h

So,

Height of cone = 3V / πr²

Height of cone in term of volume = 3V / πr²

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