Question

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.

Answer 1

Answer:

$V=pi*\frac{16 h}{3}$

Step-by-step explanation:

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

$V=pi*\frac{r^{2} h}{3}$ 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

$V=pi*\frac{4^{2} h}{3}$ =$pi*\frac{16 h}{3}$