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Sindrei [870]
3 years ago
14

Given a soda can with a volume of 15 and a diameter of 2, what is the volume of a cone that fits perfectly inside the soda can?

Mathematics
1 answer:
Naddika [18.5K]3 years ago
8 0
Check the picture below.

so, a cone, that fits inside the cylinder, will have the same height "h" and radius "r".  Thus


\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\qquad \boxed{\pi r^2 h}=15
\\\\\\
\textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}\implies V=\cfrac{\boxed{15}}{3}

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