Question

a company that makes crunchy cheese snacks wants to design a cylindrical container like the one shown. the company wants different sizes of containers and they think the containers look the best when the height is 2.5 times the radius. write an equation that models the volume of the can in terms of the radius. the volume formula for any cylinder is $v = pi r^{2}h$. $v = 2.5pi r^{3}$ $2.5=hpi r^{2}$ $v = hpi(2.5)^{3}$

Explanation:

Step1: Substitute height formula

Given $h = 2.5r$, substitute $h$ into the volume formula $V=\pi r^{2}h$.

Step2: Calculate volume

$V=\pi r^{2}(2.5r)=2.5\pi r^{3}$.

Answer:

$V = 2.5\pi r^{3}$