## Chloe is a pharmacist and wants to know the height of a medicine bottle received from a supplier. The supplier informed her that

Question

Chloe is a pharmacist and wants to know the

height of a medicine bottle received from a

supplier. The supplier informed her that the

radius of the medicine bottle is one-fourth its

height. Chloe knows that the medicine bottle

has a volume of V cubic inches.

Which of the following functions would best model the situation above?

O

cube root

O

square root

O

exponential

O

step

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Math
3 months
2021-10-24T15:23:40+00:00
2021-10-24T15:23:40+00:00 1 Answer
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## Answers ( )

The given situation would be a best model of

cube root.Solution:Generally, medicine bottles will be cylindrical in shape. Since the shape of the bottle is not given we can assume that the bottle is in cylindrical shape.

Given information:Radius of the bottle (r) = one fourth of its height (h)

Volume of the bottle = V cubic inches

The formula of the volume of a cylinder is as follows,

This can be re-written as as we do not know the height.

On plugging-in the given values we get,

On solving we get,

On taking the cube root on both sides we get,

Therefore,

cube rootwould be the best model of the given solution.