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Th volume of the sphere is $\frac{88}{21}$ cubic meters. Find its surface area.

written 5.6 years ago by teamques10 ★ 69k

modified 3.0 years ago by pedsangini276 • 4.8k

engineering mathematics

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written 5.6 years ago by teamques10 ★ 69k

Solution:

$Volume of sphere =\frac{4}{3} \pi r^{3}$

$\therefore \frac{4}{3} \pi r^{3}=\frac{88}{21}$

$r^{3}=\frac{88}{21} \times \frac{3}{4} \times \frac{7}{22}$

$r^{3}=1$

$r=1$

$Surface area of sphere =4 \pi \mathrm{r}^{2}$ $=4 \pi(1)^{2}=4 \pi \mathrm{sq.m.}$

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