Water is poured into a container in the shape of a right circular cone with radius 4 feet and height 16 feet. Express the volume V of the water in the cone as a function of the height h of the water.

Question

campbell_st · Answer

well if the height is h = 16  

then the radius is r = 1/4 of the height so 

$$r = \frac{h}{4}$$

so substitute these values into the formula 

$$V = \frac{1}{3} \pi r^2 h$$

replace 

$$r ~~with~~\frac{h}{4}$$

hope it helps

campbell_st · Answer

oops... forgot to say... simplify the equation

steve816 · Answer

Thanks :)