Question

what happens to the volume of the sphere if the radius is doubled?

Answer 1

• When the radius of the sphere was doubled, its volume increased 8 times.

The volume increased so much because,

• the radius is raised to the third power. This makes the volume increase much faster than the radius.

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Answer 2

Answer:

8πr^3/3

Step-by-step explanation:

Volume of sphere = 32πr^3/3

when radius(r) is  double

radius = 2r

substituting r = 2r

volume of sphere = 4π(2r)^3/3

                             =  4π(8r^3)/3

                             =  32πr^3/3

Therefore Volume is increased by 8 times