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

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3:1

1:1

1:2

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

= 4 π r 2

.
Volume of sphere

= 43 π r 3

R e q u i r e d r a t i o = S u r f a c e area of sphere V o l u m e of sphere

⇒ 4 π r 2 43 π r 3

Here

r = 1

.
So, required ratio will be

⇒ 3 × 4 π (1) 2 4 π (1) 3

⇒ 31

⇒

3:1
Therefore, the correct option is 4.

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