Question

The formula for the volume

of a cone is V= 1/3 pi r^2h. Write the formula expressed as the radius, r.

Answer 1

`\sqrt{ \frac{{3V\pi } }{h}` = r

Explanation:

V = 1/3 pi r^(2) *h

Rewrite:

V = pi * r^(2) * h/3

Inverse operations:

V / h / 3 = pi * r^2

Simplify:

3V/h = pi * r^2

Inverse operations:

3V/h / pi = r^2

Simplify:

3Vpi/ h = r^2

Inverse operations:

sqrt( 3Vpi/h) = r

`\sqrt{ \frac{{3V\pi } }{h}` = r