Question

A cone of radius 4 cm and ht 7 cm is melted to form a sphere . Find the r of sphere

Answer 1

$\bf{ \underline{ \underline{Answer \: : }}} \:$

$\large\bold\red{Answer~is~3~cm~.}$

● Cone is melted from sphere than,

$\mathrm{volume \: of \: cone = volume \: of \: sphere} \\ \\⟹ \: \frac{1}{3} \times \pi \times {r}^{2} \times h \\ \\ ⟹ \frac{1}{3} \times \frac{22}{7} \times 4 \times 4 \times 7 \\ \\ ⟹117.33 { \: cm}^{3} \\ \\ ⟹ \frac{4}{3} \times \frac{22}{7} \times {r}^{3} \\ \\ ⟹3.75 { \: cm}^{3} \\ \\ \\ ⟹ {r}^{3} = \sqrt{ \frac{117.37}{3.75} } \\ \\⟹ \sqrt{27} \\ \\ = 3 \: cm$

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