## 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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3 months 2021-10-24T15:23:40+00:00 1 Answer 0 views 0

1. 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 root would be the best model of the given solution.