Question
If the diameter of a sphere is increase by 20% the volume also increased by x% find x??
Answers
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%
So, if d -> 1.2d
v -> 1.2^3 v = 1.728v
That is, it grows by 72.8%
Collins
How did u got 72.8% but i get what your are saying tnx
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?
look at his
1.728v
= (1 + .728)v
= (100% + 72.8%)v , since 100% = 100/100 = 1
can you see where it came from?
Collins
Tnx reiny........bess yah
Steve
Dang it, buddy, you're taking all the mystery out of math!
Collins
What happen steve why??
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%
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%
Anonymous
yea nah don't get it