Question

If the total surface area of a solid hemisphere is 462 cm square find its volume

Answer 1

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Answer 2

Total surface area of the hemisphere = $\sf{{3π{r}^{2}} = {462cm}^{2}}$

$\longrightarrow$ $\sf{{r}^{2} = \frac{462 \times 7}{3 \times 22} = 7 \times 7}$

$\longrightarrow$ $\sf{r=7cm}$

Hence, the volume of them hemisphere =

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

$\longrightarrow$ $\sf{ {718.67cm}^{3} (approx.)}$