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stellarik [79]
3 years ago
13

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!!
Mathematics
1 answer:
scoray [572]3 years ago
3 0

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!!!

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