Question

The volume of a hemisphere is 2425 and a half cm cube find its curved surface area

Answer 1

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Answer 2

$\sf{Volume\:of\:the\:hemisphere= \frac{2}{3} {πr}^{3} = 2425 \frac{1}{2} {cm}^{3}}$

$\longrightarrow$ $\sf{ \frac{2}{3} \times \frac{22}{7} \times {r}^{3} = \frac{4851}{2} }$

$\longrightarrow$ $\sf{{r}^{3} = \frac{4851}{2} \times \frac{3}{2} \times \frac{7}{22} = {( \frac{21}{2} )}^{3}}$

$\therefore$ r = $\sf{\frac{21}{2}cm}$

Hence, the curved surface area of the hemisphere

= $\sf{{2\pi \: r}^{2} = 2 \times \frac{22}{7} \times \frac{22}{2} \times \frac{22}{2} {cm}^{2}}$

= ${\boxed{\sf{{693cm}^{2} }}}$