SSC CGL 16 Aug 2017 Shift 1 Paper

Question : 53 of 100

Marks: +1, -0

How many spherical balls of radius 1 cm can be made by melting a hemisphere of radius 6 cm?

Solution:

Required number of spherical balls

={{2}/{3} \πr_{1}^{3}}/{ {4}/{3} \πr_{2}^{3}}= {1}/{2} [ {r_{1}}/{r_{2}} ]^{3}

= {1}/{2} [\ {6}/{1} ]^{3}= {216}/{2}=108

balls

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