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Q.

The ratio of surface area and volume of the sphere of unit radius is

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a

3:1 

b

1:1

c

1:2

d

2:1

answer is D.

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Detailed Solution

Given, there is a sphere of unit radius.
We know, the surface area of the sphere =4π r 2  .
 Volume of sphere = 4 3 π r 3  .
Required ratio= Surface area of sphere Volume of sphere    ⇒ 4π r 2 4 3 π r 3   Here r=1   .
So, required ratio will be
⇒ 3×4π (1) 2 4π (1) 3    ⇒ 3 1   ⇒  3:1
Therefore, the correct option is 4.
 
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