Question

You are designing a container in the shape of a cylinder. the the radius is six inches. you want the container to hold at least 324 π cubic inches. what is the least possible height of the container?

i need the answer in a formula like greater than or less than!!

answer asap!!

Answer 1

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!!!