Question

the volume of a sphere varies directly as the cube of its radius and it's volume is 36 cm^3 . find the volume of the sphere when the diameter is doubled

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Answer 1

Answer:

volume of sphere=4/3*3.14*r^3

4/3*3.14*r^3=36

r^3=36/3.14*3/4

r^3=8.59

r=2.04

diameter =4.08

now,

volume of sphere when diameter becomes double

so, diameter is 8.16

therefore

volume of sphere =4/3*3.14*r^3

=4/3*3.14*(4.08)^3

=284.3471cm^3

Answer 2

Answer:

288π cm³.

Step-by-step explanation:

v=r³

v=[d/2]³

v¹/v²=[d/2]³/[2d/2]³

36π/V2=[d/2]³/8[d/2]³

=V2=288π cm³.