A solid metal sphere with a radius of 12 cm is melted and transformed into multiple smaller spheres, each with a radius of 2 cm. How many smaller spheres can be created from the original sphere?
Show answer & explanation
Correct answer: C
Explanation
Radius of the large sphere = 12 cm
Radius of the small sphere = 2 cm
According to the formula:
Volume of a sphere = (4/3)πr³
Volume of the large sphere = (4/3)π × 12³
Volume of the small sphere = (4/3)π × 2³
Number of small spheres