contestada

What’s the diameter of a cone that has a volume of 104.67 cubic inches and a height of 4 inches

Respuesta :

[tex] \bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}~~
\begin{cases}
r=radius\\
h=height\\
------\\
V=104.67\\
h=4
\end{cases}\implies 104.67=\cfrac{\pi r^2(4)}{3}
\\\\\\
314.01=\pi r^2(4)\implies \cfrac{314.01}{4\pi }=r^2\implies \sqrt{\cfrac{314.01}{4\pi }}=r
\\\\\\
4.99881204289009322143 \approx r [/tex]