Aptitude - If the radius is increased by 50%. How much will be the volume increased for a circle / Sphere in pe

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If the radius is increased by 50%. How much will be the volume increased for a circle / Sphere in percentage.

Total Answers and Comments: 9

Last Update: October 27, 2009

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Submitted by: kalyantheprince

volume of sphere initially = 4/3*(pi) r^3

since radius is increased by 50%

so new radius = 1.5r

so new volume of sphere = 4/3*(pi)*(1.5r)^3

=3.375*4/3*(pi)*r^3

=4/3*(pi) r^3 + 2.375*4/3*(pi)*r^3

So total increase in volume of sphere = 237.5%

Above answer was rated as good by the following members:
anjali_aiet

May 23, 2005 05:13:14

shashi

RE: If the radius is increased by 50%. How much will be the volume increased for a circle / Sphere in pe...

pie/2r percent

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July 17, 2005 08:42:09

nmodi

RE: If the radius is increased by 50%. How much will be the volume increased for a circle / Sphere in pe...

225 for circle and 337.5 for shpere

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July 19, 2005 23:26:14

irfan

RE: If the radius is increased by 50%. How much will be the volume increased for a circle / Sphere in pe...

increase in volume for sphere is 237.5

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September 22, 2005 07:58:42

simon

Member Since: September 2005 Contribution: 3

RE: If the radius is increased by 50%. How much...

2*50+50*50/100 125 ans

spher 1.5*1.5*1.5-1 2.375

increase 2.375/1*100 237.5

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December 30, 2005 15:12:31

srilakshmi

RE: If the radius is increased by 50%. How much...

ans is 237.5

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January 05, 2006 13:15:13

kalyantheprince

Member Since: January 2006 Contribution: 2

RE: If the radius is increased by 50%. How much...

volume of sphere initially 4/3*(pi) r^3

since radius is increased by 50

so new radius 1.5r

so new volume of sphere 4/3*(pi)*(1.5r)^3

3.375*4/3*(pi)*r^3

4/3*(pi) r^3 + 2.375*4/3*(pi)*r^3

So total increase in volume of sphere 237.5

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1 0

Overall Rating: +1

March 31, 2006 11:50:53

swati

RE: If the radius is increased by 50%. How much...

ans is 67.5

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September 12, 2006 20:28:10

bob

RE: If the radius is increased by 50% in length...

if a cube increases 50 in length how much does the volume change?

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October 26, 2009 22:29:12

hari2912

Member Since: October 2009 Contribution: 2

RE: If the radius is increased by 50%. How much will be the volume increased for a circle / Sphere in percentage.

Let initial radius R
New Radius R + 50R/100 3R/2
Volume of a sphere 4 * pi * r^3
new volume for new radius 4 * pi * (3R/2)^3
4*pi*27R/8
therefore volume has increased by 27/8 times
in percentage: (27/8)*100
337.5

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