Latest SSC Aptitude Question SOLUTION: A solid spherical ball is prepared by melting the cone and cylinder having the same height and same base diameter equal 2r . find the radius of the sphere ?

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A solid spherical ball is prepared by melting the cone and cylinder having the same height and same base diameter equal 2r . find the radius of the sphere ?

Asked In SSC DEBARSHI DALAI (8 years ago)

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Devendra Marghade  (8 years ago)

(r^2*h)^1/3

Radius of cylinder & cone=diameter/2=r , if same height=h, then
Total volume of cone and cylinder=[(1/3)*Pi*r^2 *h]+(Pi*r^2 *h)=Pi*r^2 *h[(1/3)+1]=(4/3)*Pi*r^2 *h
As total volume of cone and cylinder= Volume of spherical ball(with radius R)=(4/3)*Pi*R^3
So (4/3)*Pi*r^2 *h= (4/3)*Pi*R^3
R^3=r^2 *h
R=Cube root of (r^2 *h) or (r^2 *h)^(1/3)

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