SSC CGL Tier II 12 Apr 2015 Paper

Question : 8 of 100

Marks: +1, -0

Assume that a drop of water is spherical and its diameter is one-tenth of a cm. A conical glass has a height equal to the diameter of its rim. If 32000 drops of water fill the glass completely, then the height of the glass (in cm.) is

Validate

Solution:

(3) Volume of one drop of water

4/3\πr^3

= {4}/{3}× \π×( {1}/{20} )^{3}

cube

{\cm}

∴ Volume of 32000 drops of water

= {4 \π}/{3} ×{32000}/{20 × 20 × 20}

cubic cm.

={16\π}/3

cubic cm
∴ Volume of glass

1/3\πR^3H

Here,

R=H/2

∴{1}/{3} \π( { {H}}/{2} )^{2} .{H}= {16 \π}/{3}

⇒{ {H}^{3}}/{4}=16

⇒{H}^{3}=64

∴{H}=√^3{64}=4 {cm} .

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