Latest Tech Mahindra Aptitude Question SOLUTION: A cylinder of diameter 14 and height 21 is converted into a cone of radius 10. Now, what could be the percentage height of the new shape ?

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A cylinder of diameter 14 and height 21 is converted into a cone of radius 10. Now, what could be the percentage height of the new shape ?

Asked In Tech Mahindra Devendra Marghade (5 years ago)

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Bishmita Sahoo  (4 years ago)

πr2h=πr2h/3
7*7*21=10*10*h/3
h= 30.87
%Height= (30.87*100)/21= 147%

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Omesh Paighan  (5 years ago)

volume of cylinder is pir*radius*radius*height
so, it will give the 1029pie cubic unit.
then, volume of cone is 1/3 pie*r*r*h.
so height=(3*1029 *pie)/pie*10*10
answer is 30.87 unit
Ans=30.87 unit

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Rohit kumar  (5 years ago)

Let no, of spheres be N
by given,volume of the cylinder=NxVolume of spere
radius of cylindr=14cm
height of cylinder=21cm
volume=πr²h  =22/7 x 21 x 14 x 14
                       =12936 cm³
radius of sphere=3.5cm
volume=4/3πr³  =4/3 x 22/7 x 3.5 x 3.5 x 3.5
                          =179.66cm³
N=12936/179.66
   =72 ans.

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