Question

A metallic spherical ball of radius 14 cm is being melted and recast it into spherical balls of radius 2 cm. How many spherical balls will be created? Round your answer to the nearest whole number.

Answer 1

Volume of sphere = 4/3 x pi x r^3

Volume of large sphere:

4/3 x 3.14 x 14^3 = 11488.21 cubic cm

Volume of smaller sphere:

4/3 x 3.14 x 2^3 = 33.49 cubic cm

Number of small spheres = volume of large sphere/ volume of small sphere

11488.21 / 33.49 = 343.03

Round to 343 small spheres