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Water is being poured into a container in the shape of a right circular cone with a radius of 4 ft and height of 16 ft. Find a function that models the volume V of the water in the cone in terms of the height (h) of the water.

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Answer:

[tex]V=pi*\frac{16 h}{3}[/tex]

Step-by-step explanation:

Volume of a right circular cone can be found using the equation

[tex]V=pi*\frac{r^{2} h}{3}[/tex] where

  • r is the radius of the cone
  • h is  the height of the cone
  • pi is the π constant

Since r=4ft, we can model the volume of the water in the cone in terms of the height as

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

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