Question
The surface area of a sphere is $2464\ cm ^2$ ,find its volume
✓
Answer
Surface area of the sphere $=2464 cm ^2$
Let radius $= r,$ then
$4 \pi r^2=2464 \\ \Rightarrow 4 \times \frac{22}{7} \times r^2=2464 $
$ \Rightarrow r^2=\frac{2462 \times 7}{4 \times 22}=196 $
$ \Rightarrow r=14 cm$
$\text { Volume }=\frac{4}{3} \pi r^3 $
$ \therefore \frac{4}{3} \pi r^3=\frac{4}{3} \times \frac{22}{7} \times 14 \times 14 \times 14$
$=11498.67 cm ^3$
Let radius $= r,$ then
$4 \pi r^2=2464 \\ \Rightarrow 4 \times \frac{22}{7} \times r^2=2464 $
$ \Rightarrow r^2=\frac{2462 \times 7}{4 \times 22}=196 $
$ \Rightarrow r=14 cm$
$\text { Volume }=\frac{4}{3} \pi r^3 $
$ \therefore \frac{4}{3} \pi r^3=\frac{4}{3} \times \frac{22}{7} \times 14 \times 14 \times 14$
$=11498.67 cm ^3$
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