If height of cone increases by 50% then increases in % in volume?A. 30B. 40C. 50D. 60

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neetu

  • Oct 20th, 2005
 

ans 50% increase.

xplainations:

volume of cone 1/3*pi*r*r*h.  ---(1)

height h increased by 50%. so increase is h/2. New height h+h/2=3h/2.

so new volume= 1/3*3h/2*r2=h/2*r*r.----(2)

increase in volume=(2)-(1)=h/6*pi*r*r.-----(3)

so percent increase is =(3)/(1)*100=h/6*3/h*100=50%

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