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Sphere

The ratio of ...

Question

The ratio of the volume and surface area of a sphere of unit radius without considering units is

A

4 : 3

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B

3 : 4

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C

1 : 3

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D

3 : 1

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Solution

The correct option is C 1 : 3
r = 1 unit (given)
$\frac{V o l u m e o f s p h e r e}{S u r f a c e a r e a o f s p h e r e} = \frac{\frac{4}{3} π (1)^{3}}{4 π (1)^{2}} = \frac{1}{3} = 1 : 3$

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