Question

The volume of a container measures 3,200 in.3 and contains a dozen tennis balls. Each tennis ball has a radius of 2.5 in. How much space in the container is empty? Use 3.14 as an approximation for pi. Round to the nearest whole number, if necessary.(1 point) in.3

Answer 1

nope

Answer 2

The volume of one tennis ball can be calculated using the formula for the volume of a sphere: V = (4/3)πr^3.
Plugging in the radius of 2.5 inches:
V = (4/3) * 3.14 * (2.5)^3
V ≈ 65.45 in.3

Since there are 12 tennis balls in the container, the total volume they take up is:
12 * 65.45 ≈ 785.4 in.3

Subtracting this from the total volume of the container:
3,200 - 785.4 ≈ 2,414.6 in.3

Therefore, approximately 2,415 in.3 of space in the container is empty.

Answer 3

I apologize for the mistake. Let's re-calculate:

The volume of one tennis ball can be calculated as:

V = (4/3) * π * (2.5)^3
V ≈ 65.45 in.3

Since there are 12 tennis balls in the container, the total volume they take up is:

12 * 65.45 ≈ 785.4 in.3

Subtracting this from the total volume of the container:

3,200 - 785.4 ≈ 2,414.6 in.3

Therefore, approximately 2,415 in.3 of space in the container is empty. Thanks for your patience.