Question

Please help and show work

Answer 1

sqrt( 3V /(pi h)) =r

Explanation:

V = 1/3 pi r^2 h

Multiply each side by 3

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

3V = pi r^2 h

Divide each side by pi h

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

3V /(pi h) = r^2

Take the square root of each side

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

sqrt( 3V /(pi h)) =r