Length of a solid cube is 44cm .How many small balls of radius 2 cm can be made by
melting this cube?
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Answer:
Step-by-step explanation:
side of cube = 44 cm
therefore , volume of cube = (s) cube
volume of cube = n X volume of 1 sphere ..( here n is the no. of spheres that we have to find)
(a)^3 = n X 4/3π(r^3)
44 X 44 X 44 = n X 4/3 X 22/7 X (r^3)
85184 = 88/21 X n X (r^3)
85184 X 21/88 X 8 = n ( 8 is the cube of radius of sphere)
therefore, n = 2541
the no. of spheres that could be made are 2541 sphere
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