Latest Syntel Aptitude Question SOLUTION: . The volume and the radius of both cone and sphere are equal , then find the ratio of height of the cone to the diameter of the sphere? (a)1:2 (b) 3:2 (c)2:1 (d)none of the

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(#M40003484) SYNTEL Numerical Ability question Keep an EYE

. The volume and the radius of both cone and sphere are equal , then find the ratio of height of the cone to the diameter of the sphere?
(a)1:2 (b) 3:2 (c)2:1 (d)none of these

Asked In Syntel laika goyal (12 years ago)

Unsolved Read Solution (5)

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Dr.Dipin Singh  (12 years ago)

If h is height of cone and r is radius of cone and sphere, then
Volume of cone: (1/3)π*R^2 *h
Volume of sphere: (4/3)πR^3

Problem says the two volumes are equal, so:

(1/3)π(R^2)*h = (4/3)π(R^3)
h= 4R = 2D where D is diameter of cone/sphere
h/D = 2/1

Hence option ( C) 2:1

Is this solution Helpfull? Yes (45) | No   

Jai  (12 years ago)

VOL OF SPHERE = VOL OF CONE
(4/3)*PI*R3 = (1/3)*PI*R2*H
H = 4*R
H = 2*D
H:D = 2:1
OPTION C)2:1

Is this solution Helpfull? Yes (6) | No (1)  

sowmya madela  (12 years ago)

yeah dipin is rit....i have made a small mistake....its h=4r nt h=r

Is this solution Helpfull? Yes (3) | No   

sowmya madela  (12 years ago)

Given volume & radius of both cone nd sphere are equal
i.e;1/3(pie)(square(r))h = 4/3(pie)(cube(r))
on solving this we get, h=r
we know that diameter=2(radius)
on substituting we get, h=d/2
hence h:d=1:2 ans is a)

Is this solution Helpfull? Yes (1) | No (12)  

elezabeth soniya xavier  (8 years ago)

Option c
H/2r=2

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