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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?


exponential


cube root


step


square root

Respuesta :

DeanR

The bottle is a cylinder, height h radius r=h/4.

[tex]V = \pi r^2 h = \pi (h/4)^2 h = \frac{\pi}{16} h^3[/tex]

[tex]h^3 = \dfrac{16V}{\pi}[/tex]

[tex]h = \sqrt[3]{ \dfrac{16V}{\pi} }[/tex]

Answer: second choice, cube root

vijayhalder031

Cube root function would be the best model of the situation above

What is a Volume of a Cylinder?

  • The volume of a cylinder is πr^2h
  • r is the radius.
  • h is the height.

How to solve the problem?

The problem can be solved by following steps.

The radius of the cylinder = h/4 (given)

We need to find the height of the cylinder

Volume of cylinder =

= \pi( \frac{h}{4})^{2}h[/tex]

[tex]v = \pi \frac{ {h}^{2} }{16} \times h \\ h ^3 \ = \frac{16v}{\pi} \\ \sqrt[3]{16 \frac{v}{\pi}} [/tex]

Hence h is cube root of 3√ 16 v/h

Learn more about Cylinder here

https://brainly.com/question/76387

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