Asked by Collins

If the diameter of a sphere is increase by 20% the volume also increased by x% find x??
Answered by Steve
if the diameter scales by a factor of x, the volume grows by x^3.

So, if d -> 1.2d
v -> 1.2^3 v = 1.728v
That is, it grows by 72.8%
Answered by Collins
How did u got 72.8% but i get what your are saying tnx
Answered by Reiny
I don't think Steve is on line right now, so ...

look at his
1.728v
= (1 + .728)v
= (100% + 72.8%)v , since 100% = 100/100 = 1

can you see where it came from?
Answered by Collins
Tnx reiny........bess yah
Answered by Steve
Dang it, buddy, you're taking all the mystery out of math!
Answered by Collins
What happen steve why??
Answered by Anonymous
Let the diameter be 100cm
Then,its volume=(4/3)π50³
When diameter increased by 20%,diameter becomes 120cm
Then its volume =(4/3)π60³
%increase in volume=
{[(4/3)π60³-(4/3)π50³]/(4/3)π50³}X100
=(21600000-12500000)/125000
=72.8%
Answered by Anonymous
yea nah don't get it
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