A youth basketball has a diameter of about 8.75 inches. What is the volume of air, in cubic inches, that can fill the basketball? Round your answer to the nearest hundredths place. 1,052.31 in3
350.77 in3
240.41 in3
2,806.16 in3

which class or grade question

Step-by-step explanation:

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volume of foam needed to fill the box is approximately 2926.1 cubic inches.

Step-by-step explanation:

To calculate the amount of foaming that is needed to fill the rest of the box we first need to calculate the volume of the box and the volume of the ball. Since the box is cubic it's volume is given by the formula below, while the formula for the basketball, a sphere, is also shown.

Vcube = a³

Vsphere = (4*pi*r³)/3

Where a is the side of the box and r is the radius of the box. The radius is half of the diameter. Applying the data from the problem to the expressions, we have:

Vcube = 15³ = 3375 cubic inches

Vsphere = (4*pi*(9.5/2)³)/3 = 448.921

The volume of foam there is needed to complete the box is the subtraction between the two volumes above:

Vfoam = Vcube - Vsphere = 3375 - 448.921 = 2926.079 cubic inches

The volume of foam needed to fill the box is approximately 2926.1 cubic inches.

2

step-by-step explanation:

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1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

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