Question

the diameter of a solid sphere is 6cm.it is melted and recast into a solod cylinder of height 4cm find the radius of cylinder

Answer 1

$\pink{volume \: of \: sphere = volume \: of \: cylinder} \\ \\ \frac{4}{3} \pi {r}^{3} = \pi {r}^{2} h \\ \\ \frac{4}{3} \pi {3}^{3} = \pi {r}^{2} 4 \\ \\ {3}^{2} = {r}^{2} \\ \\ \red{ \boxed{ \boxed{ \boxed {\boxed{r = 3}}}}}$