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12 solid spheres of the same size are made by melting by a solid mentallic cylinder of base diameter 2 cm and height 16 cm,the diameter of the sphere is

Posted by Mahalakshmi Soundharajan 5 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years, 5 months ago

Radius of cylinder (R) = 1cm
Height of cylinder (H) = 16cm
Let, the radius of small spheres be rcm
So,
12(volume of small sphere) = volume of cylinder
=> 12(4/3πr^3) = πR^2H
=> 16r^3 = 1^2 × 16
=> r^3 = 1cm
=> r = 1cm.

Diameter = 2R = 2x1 = 2 cm

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