the diameter of a sphere is decreased by 25%,by what percentage its volume decreases?
here we have to find decreased volume not CSA and I know Answer is 57.81 but I don't know how it came..so plz give me step wise correct and easy to understand Solution..
plz..
I will surely mark u as Brainliest if I will be satisfied.
Answers
Answered by
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Answer:
Original Diameter =d
Original CSA=4π(
2
d
)
2
=πd
2
New Diameter =d−
100
25
d=
4
3d
New CSA=4π(
8
3d
)
2
=
16
9
πd
2
.
% decrease =
πd
2
(πd
2
−
16
9
πd
2
)
×100
=
πd
2
πd
2
(1−
16
9
)×100
=
16
16−9
×100
=43.75%.
solution
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