Ask Question
15 February, 04:55

A basketball with a diameter of 9.5 in. is placed in a cubic box with sides 15 in. long. How many cubic inches of packing foam are needed to fill the rest of the box? Round to the nearest tenth.

+5
Answers (1)
  1. 15 February, 05:25
    0
    The 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.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A basketball with a diameter of 9.5 in. is placed in a cubic box with sides 15 in. long. How many cubic inches of packing foam are needed ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers