Q20 of 48 Page 13

How many spherical bullets can be made out of a solid cube of lead whose edge measures 44 cm, each bullet being 4 cm in diameter?

Concept Used: Volume of Sphere


Where r = radius of the sphere


The volume of a cube = a3


Where a = edge of the cube.


In a melting or conversion question, the volume remains same. In given questions.


The volume of cube = Volume of spherical bullets


Given: Edge of cube = 44 cm


Diameter of bullets = 4 cm


Explanation:


Let the Volume of cube = V


Let the volume of one spherical bullet = v


Let the number of bullets = n


Now, according to the question,


V = nv …………..(1)


Now Volume of Cube, V = (44 cm)3


The radius of spherical bullet


The volume of one spherical bullet


Putting these values in equation (1) we get,




n = 2541


Hence, The number of bullets formed is 2541.


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