SSC CGL 19 Oct 2014 Shift 2 Paper

Question : 106 of 200

Marks: +1, -0

The volumes of a right circular cylinder and a sphere are equal. The radius of the cylinder and the diameter of the sphere are equal. The ratio of height and radius of the cylinder is

3 : 1
1 : 3
6 : 1
1 : 6

Validate

Solution:

Radius of cylinder = r units
Radius of sphere =

r/2

units
Let the height of cylinder be h units,
∴ Volume of cylinder = Volume of sphere
⇒

πr^2h

4/3 π (r/2)^3

⇒

πr^2h

1/6 πr^3

⇒ h =

1/6 r

⇒

h/r

1/6

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