The radius of a sphere is increased by 10%. prove that the volume will be increased by 33.1% approximately
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Answered by
7
Answer :-
Let the volume = v
Radius == r
Now
When r increased by 10%
r + 10% of r
r + 0.1r = 0.1 + 1 = 1.1r
Now
Volume = 4/3 π (1.1r)³
V = 4/3 * 22/7 (1.331r)
1.331 (v)
Now
Increase % = (1.331v - v)/v * 100%
Increase = 0.331v/v *100
Increase = 0.331 * 100 = 33.1%
Answered by
4
Answer:
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