Givens
V = 209.3 in^3
pi = 3.14
h = 8 in
Formula
V = 1/3 pi r^2 h
209.3 = 1/3 * 3.14 * r^2 * h Multiply both sides by 3
209.3 * 3 = 3.14 * r^2 * 8
627.9 = 3.14 * r^2 Divide by 3.14
627.9/3.14 = r^2 * hThis rounds to 200
199.968 = r^2 * 8
8*r^2 = 199.968 Divide by 8
r^2 = 199.968 / 8
r^2 = 24.996
r = sqrt(24.996)
r = 4.9996 That's not quiet the answer.
diameter = 2*r
diameter = 2* 4.9996
diameter = 9.9992
d = 9.9992 <<<<< answer
You might want to think about rounding to 10 when you enter your answer.