We have radius r= 6 inches and volume V≥ 324 pi inches∧3 we need H=?
We will use next formula to calculate height.
V= B * H = r∧2 pi * H
r∧2 pi * H ≥ 324 pi => 6∧2 pi * H ≥ 324 pi => 36 pi * H ≥ 324 pi
We will divide the both sides of the inequality with pi and get
36 * H ≥ 324 => H ≥ 324/36 => H ≥ 9 inches
Good luck!!!