Question 93

If the volume of a sphere is 4851 $$cm^3$$, then its surface area (in $$cm^2$$) is: (Take $$\pi = \frac{22}{7}$$)

Solution

The volume of a sphere = 4851 $$cm^3$$
$$\frac{4}{3} \times \pi \times r^3$$ = 4851 $$cm^3$$
$$\frac{4}{3} \times \frac{22}{7} \times r^3$$ = 4851 $$cm^3$$
$$r^3 = 1157.625$$
r = 10.5 cm
Surface area = $$4 \pi r^2 = 4 \times \frac{22}{7} \times (10.5)^2$$
= $$\frac{88}{7} \times 110.25$$ = 1386 cm$$^2$$


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