Question

The volume of a cone is 1004.8 in.³. The height of a cone is 15 inches. What is the radius of the con rounded to the nearest inch? (Pi=3.14)

Answer 1

`\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}\qquad \begin{cases} r=radius\\ h=height\\ -----\\ h=15\\ V=1004.8 \end{cases}\implies 1004.8=\cfrac{\pi r^2 15}{3} \\\\\\ 3\cdot 1004.8=15\pi r^2\implies \cfrac{3\cdot 1004.8}{15\pi }=r^2\implies \sqrt{\cfrac{3\cdot 1004.8}{15\pi }}=r`