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.

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

=> the volume of the basketball is:

V = π

= 448.69 cubic inches

As we know, the formula used to find the volume of a cube is:

V =

=> the volume of the box:

V = = 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

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc