SSC CGL 26 Oct 2014 Shift 2 Paper

Question : 104 of 200

Marks: +1, -0

A sphere is cut into two hemispheres. One of them is used as bowl. It takes 8 bowlfuls of this to fill a conical vessel of height 12 cm and radius 6 cm. The radius of the sphere (in centimetre) will be

Validate

Solution:

Volume of conical vessel
=

1/3 πr^2h

1/3

× π × 6 × 6 = 12
= 144 π cu. c
m.
If the radius of sphere be R cm,
then
8 ×

2/3 πR^3

= 144π
⇒

R^3

{144×3}/{8×2}

= 9 × 3 = 3 × 3 × 3
∴ R =

∛{3×3×3}

= 3 cm

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