The volume of a sphere (U) varies as the cube of radius.
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The volume of a sphere varies directly as the cube of its radius and its volume is 36 π cm
3
. Find the volume of the sphere, when the diameter is doubled.
ANSWER:-
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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