SSC CGL Tier II 1 Dec 2016 Paper 1

Question : 59 of 100

Marks: +1, -0

A hemispherical bowl of internal radius 9 cm, contains a liquid. This liquid is to be filled into small cylindrical bottles of diameter 3 cm and height 4 cm. Then the number of bottles necessary to empty the bowl is

Validate

Solution:

(4) Volume of bow

=2/3\πr^3

= {2}/{3} \π× 9× 9 × 9

= 486\π

cu. cm. = volume of liquid
Volume of 1 bottle

=\πR^2H

=\π×{3}/{2} ×{3}/{2}× 4

= 9\π

cu. cm.
∴ Number of bottles

= {486 \π}/{9 \π}=54

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