Question

A cylindrical soup can has a radius of 1.5 inches and holds 11.25π cubic

inches of soup. What is the height of the can to the nearest tenth?

Answer 1

`\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=1.5\\ V=11.25\pi \end{cases}\implies 11.25\pi =\pi (1.5)^2 h \\\\\\ \cfrac{11.25\pi }{\pi (1.5)^2}=h\implies 5=h`