Square roots and formulas

Question

The radius of a circular cylinder is r = square root of v/pie h. Solve for h. Then find the radius with the height of 2root3 and volume of 32root3.

Answer 1

your writing is not very clear if your mean is:

r = (√ v) / Π h both sides times Πh for solving for h

r *Πh = (√ v) both side divide (r*Π)

h = (√ v) / r*Π

h = 2√3 v = 32√3 find the r

use the given equation r = (√ v) / Π h

r = √32√3 / Π *2√3 you know 32 = 16 *2

r = 4 √2√3 / 2√3 Π

r = 4 / pi√2√3 i prefer this answer

r = 4 / pi 12^1/4

both are acceptable

I hope it is useful, let me know if you have any question.

Minoo