Question

A cylindrical vase has a height of 12 inches. The volume is 192π cubic inches. What is the

radius of the vase?

Answer 1

Explanation:

volume=pi*r^2*h

192pi=pi*r^2*h

192=r^2*h

16=r^2

4=r

Answer 2

`\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=12\\ V=192\pi \end{cases}\implies 192\pi =\pi r^2(12) \\\\\\ \cfrac{192\pi }{12\pi }=r^2\implies 16=r^2\implies √(16)=r\implies 4=r`