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Q.

In the volume of a sphere is divided by its surface area, the resultant is 27 cm. the radius of the sphere is $3^{n}$ . The value of 'n' is

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a

2

b

8

c

6

d

4

answer is C.

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Detailed Solution

$\frac{Volume of sphere}{Surface of Sphere} = 27$

$\frac{\frac{4}{3} {πr}^{3}}{4 {πr}^{2}} = 27 \Rightarrow \frac{r}{3} = 27 \Rightarrow r = 3^{4} \Rightarrow 3^{n} = 3^{4} \Rightarrow n = 4$

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