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

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shashi

  • May 23rd, 2005
 

pie/2r percent

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nmodi

  • Jul 17th, 2005
 

225% for circle and 337.5% for shpere

irfan

  • Jul 19th, 2005
 

increase in volume for sphere is 237.5% 

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%

swati

  • Mar 31st, 2006
 

ans is 67.5

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bob

  • Sep 12th, 2006
 

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

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hari2912

  • Oct 26th, 2009
 

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%

Gayathri B

  • Nov 17th, 2014
 

last step i didnt understd., how we ett 237.5% from the preivious step????????????

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Arijit

  • Feb 15th, 2017
 

Let the radius be x
A/q, new radius =x + 50%of x
=X+50/100x x
=3x/2
Vol. of Sphere = 88x3/21
Vol. of Sphere with new radius=99x3/7
difference in volumes= 99x3/7-88x3/21
=209x3/21
Increase in volume = 209x3/21/88x3/21 ×100
= 209/88×100
= 237.42

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