Twelve solid spheres of the same size are made by melting a solid metallic cylinder of base diameter 2 cm and height 16 cm. The diameter of each sphere is
(A) 4 cm (B) 3 cm (C) 2 cm (D) 6 cm

NCERT Class X
Mathematics - Exemplar Problems

Chapter _SURFACE AREAS AND VOLUMES

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Answers

2015-06-13T07:08:00+05:30
Let diameter of each sphere be d cm

So, 12*4/3*22*/7*(d/2)*(d/2)*(d/2) = 22/7*1*1*16
or, d3 = 8
or, d  = 2

So, diameter of the sphere is 2 cm (C)
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