A right circular cone is of height 8.4cm and the radius of it base is 2.1cm. It is
melted and recast into a sphere. Find the radius of the sphere
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Answer:
The awnser is ,,
Radius of cone =2.1cm
Height of cone =8.4cm
Volume of cone =
\frac{1}{3} \pi {r}^{2} h
= \frac{1}{3} \times \frac{22}{7} \times {2.1}^{2} \times 8.4
=38.808cm³
Volume of cone = volume of sphere
Volume of sphere =
\frac{4}{3} \pi {r}^{3}
\frac{4}{3} \times \frac{22}{7} \times {r}^{3} = 38.808
r³=38.808x21/88=9.261cm
{r}^{3} = \frac{9261}{1000} cm
r=21/10=2.1CM
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