Latest IBM Aptitude Question SOLUTION: The ratio of radii of two cylinders is 2:3 and the ratio of their heights is 5:3. If the volume of the bigger cylinder is 27, then what is volume of the smaller one?

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The ratio of radii of two cylinders is 2:3 and the ratio of
their heights is 5:3. If the volume of the bigger cylinder is 27,
then what is volume of the smaller one?

Asked In IBM (12 years ago)

Unsolved Read Solution (3)

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Read Solution (3) :

Anil Kumar Bharti  (11 years ago)

Ans: 20
Exp:
Vol of bigger cyl is pi*3^2*3 =27 then
Vol of smaller cyl is pi*2^2*5 =20

Is this solution Helpfull? Yes (12) | No (2)  

Amit Karmakar  (9 years ago)

let the radii be 2r and 3r
and let heights be 5h and 3h respectively.

now, vol of A = 20*pi* rh

and vol of B = 27*pi* rh

a/q vol of bigger cylinder is 27.

so vol of B = 27 ;
solving, we get :
rh = 1/pi

therefore vol of smaller cylinder (A) is :

20*pi* rh = 20*pi* (1/pi) = 20 units.

Is this solution Helpfull? Yes (5) | No   

GAYATHRI  (11 years ago)

volume of bigger cylinder=22/7(4r^2)(5h)=27
=(r^2)*h=(27*7)/(4*5*22)=189/440
volume of bigger cylinder=22/7(9r^2)(3h)
=22/7[27*(189/440)]
=36.45

Is this solution Helpfull? Yes (2) | No (9)  

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