Question

A storage container is 3 feet long, 5 feet wide, and 6 feet tall. if the diameter of a baseball is about 1.43 inches, approximately how many basketballs fit in the container? ( volume of a sphere is V = 4/3pi^3)

Answer 1

First, let's find the volume of the storage container:

Vs = 3*5*6 = 90 ft³

Now, let's do a conversion:

1.43 in * 1ft/12in = 0.119 ft

The radius is the diameter divide by 2:

r = 0.119/2 = 0.059583 ft

Let's find the volume of the baseball:

V = 4/3 π r³ = 4/3 π (0.059583)³ = 0.000886 ft³

Now divide the volume of the storage container by the volume of the baseball:

90/0.000886 ≈ 101573

Approximately 101573 balls fit in the container