Answer:
2926.32 cubic inches
Step-by-step explanation:
Given the information:
=> its radius is: 9.5/2 = 4.75 in
As we know, the formula used to find the volume of the sphere is:
V =π [tex]\frac{4}{3} r^{3}[/tex]
=> the volume of the basketball is:
V = π [tex]\frac{4}{3} 4.75^{3}[/tex]
= 448.69 cubic inches
As we know, the formula used to find the volume of a cube is:
V = [tex]a^{3}[/tex]
=> the volume of the box:
V = [tex]15^{3}[/tex] = 3375 cubic inches
Hence, The volume of foam there is needed to complete the box is the subtraction between the two volumes above:
= the volume of the box - the volume of the basketball
= 3375 - 448.69
= 2926.32 cubic inches
