Erica has a sphere-shaped bouncy ball with a diameter of 2 inches. Michelle has a sphere-shaped bouncy ball with a diameter of 4 inches. To the nearest tenth, how much more space is occupied by Michelle's bouncy ball than Erica's?

Question

4.2 in.3

29.3 in.3

33.5 in.3

12.4 in.3

Answer 1

The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius of the sphere.

For Erica's ball:
Radius = Diameter/2 = 2/2 = 1 inch
Volume = (4/3)π(1)^3 ≈ 4.2 in^3

For Michelle's ball:
Radius = Diameter/2 = 4/2 = 2 inches
Volume = (4/3)π(2)^3 ≈ 33.5 in^3

Difference in volume = 33.5 - 4.2 ≈ 29.3
Therefore, Michelle's ball occupies approximately 29.3 cubic inches more space than Erica's ball.

The correct answer is:
29.3 in^3