Question

volume of a cube varies directly with cube of it's radius and surface area of a sphere varies directly with the square of the length of radius. prove that the square of the volume of the sphere varies directly with cube of it's surface area​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Let the radius be r then

The volume of the given sphere is 36πcm

3

The volume of every sphere is,

V=4π

3

r

3

So we can equate the two volumes:

36π=4π

3

r

3

Multiply both sides by 3

r

3

=27

r=3 cm

Hence, this is the answer.

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