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anygoal [31]
3 years ago
8

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 a

re needed to fill the rest of the box? Round to the nearest tenth.
Mathematics
1 answer:
Doss [256]3 years ago
4 0

Answer:

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.

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Answer:

The area of the copper circle is <u>31.4 inches</u>.

Step-by-step explanation:

Given:

An artist used silver wire to make a square that has a perimeter of 40 inches.

She then used copper wire to make the largest circle that could fit in the square, with perimeter of 40 inches.

Use 3.14 to represent π.

Now, to find the area of the copper circle.

Perimeter of square = 40 inches.

So, we get the side of square by putting formula:

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10=side.

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For getting the area of circle we find the radius:

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Now, putting the formula to get the area of the circle:

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Step-by-step explanation:

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