# 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?

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###### Question:

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?

## Answers

check the picture below.so, a cone, that fits inside the cylinder, will have the same height "h" and radius "r". Thus[tex]\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}[/tex]

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