Question

A cylindrical serving bowl has a volume of approximately 904.78 cubic inches. If the serving bowl has a radius of 6 inches, about how tall is it?

Answer 1

`\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=904.78\\ r=6 \end{cases}\implies 904.78=\pi (6)^2 h \\\\\\ \cfrac{904.78}{\pi (6)^2}=h\implies \cfrac{904.78}{36\pi}=h\implies 8\approx h`