A solid metallic cone is melted and recast into a sphere. what is the radius of the sphere?
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If a solid metallic cone is melted and recast into a sphere then,
volume of cone = volume of sphere
Let volume of cone is V
and radius of recast sphere.
V = 4/3πr³
=> 3V/4π = r³
taking cube root both sides,
r =![\sqrt[3]{\frac{3V}{4\pi}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%7D%7D "\sqrt[3]{\frac{3V}{4\pi}}")
volume of cone = volume of sphere
Let volume of cone is V
and radius of recast sphere.
V = 4/3πr³
=> 3V/4π = r³
taking cube root both sides,
r =
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