Question

4) A solid sphere of radius 4cm is melted and recasted into small identical solid spheres, each
of diameter 1cm. the number of small spheres obtained is:
b) 64
c) 512
d) 256
​

Answer 1

Step-by-step explanation:

Volume of sphere(big)= 4/3 π r × r × r

= 4/3 22/7 4x4x4

=4/3 22/7 x 64

=4/3 22/7 x 64

= 256/3π

volume of small spheres = 4/3 π r x r x r

= 4/3 π 1

=4/3π

256/3π ÷ 4/3π = 256 ÷ 4 = 64

Answer is 64