What is the number of spherical balls, each having diameter of 1 cm that can be made from a copper sphere of diameter 12 cm.
A. 12
B. 48
C. 144
D. 1728
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Diameter of bigger sphere = 12 cm
Radius (R) = 12/2 = 6 cm.
Volume of the bigger sphere,
= 4/3 * pi * R *R *R
= 4/3 * 3.14 * 6 * 6 *6
Radius of smaller sphere = 1/2 = 0.5 cm.
Volume of smaller sphere
= 4/3 * 3.14 * 0.5 * 0.5 * 0.5
Volume of bigger sphere = N * volume of smaller sphere
4/3 * 3.14 * 6 * 6 *6 = 4/3 * 3.14 * 0.5 * 0.5 * 0.5 * N
0.5 *0.5 * 0.5 N = 6 *6 *6
N = 1728.
Where N = number of smaller sphere.