Question

The total surface area of a hemisphere is 462 sq cm, what is its curved surface area? (Take π = 22/7)

A) 616 sq cms B) 154 sq cms C) 308 sq cms D) 462 sq cms

Answer 1

Answer:

correct answer ---- option c) 308 cm²

refer to the attachment for the solution

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Answer 2

$Total \: surface \: area \: of \: hemisphere = 3\pi {r}^{2}$

$⟹3\pi {r}^{2} = 462$

$\\⟹ \pi {r}^{2} = \frac{462}{3}$

$⟹\pi {r}^{2} = 154$

$\\⟹{r}^{2} = \frac{154 \times 7}{22}$

$⟹{r}^{2} = {7}^{2}$

$⟹r = 7$

$So \: C.S.A.\: of \: hemisphere = 2\pi {r}^{2}$

$\\⟹2 \times \frac{22}{7} \times 7 \times 7$

$⟹2 \times 154 = 308$

$Correct\:answer\:is\:option\:C)$