Question

The surface area of a sphere is 346.5 cm² Find its radius and hence its volume.

Answer 1

GIVEN –

The surface area of a sphere is 346.5 cm²


surface area of a sphere = 346.5
$4\pi \: r {}^{2} = 346.5$
$4 \times \frac{22}{7} \times {r}^{2} = 346.5$
${r}^{2} = \frac{346.5 \times 7}{4 \times 22}$
${r}^{2} = 27.5625$
$r = \sqrt{27.5625} \\ r = 5.25cm$
And,

Volume of a sphere
$= \frac{4}{3} \pi \: r {}^{3}$
$v = \frac{4}{3} \times \frac{22}{7} \times (5.25) {}^{3} \\ v = 606 .375cm {}^{3}$

Answer 2

Here is your answer-