Question

The same amount of steel used to create eight solid steel balls, each with a radius of 1 inch, is used to create one larger steel ball. What is the radius of the larger ball

Answer 1

2 inches

Step-by-step explanation:

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

for the EIGHT balls total volume = 8 * 4/3 pi (1^3) = 32/3 pi

This is the volume of the made-up ONE ball

4/3 pi r^3 = 32/3 pi

4/3 r^3 = 32/3

r^3 = 32/3 * 3/4

r^3 = 8

r = 2 inches