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Savatey [412]
2 years ago
14

Twenty wooden spheres, each with a radius of 2 inches, are packed snugly into a square box that is 18 inches on each side. The r

emaining space is filled with packing beads. What is the volume occupied by the spheres?
Vsphere=\frac{4}{3}\pi r^3
Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
7 0

Answer:

670.21 inches^3

Step-by-step explanation:

To find the volume of the spheres, all you need to know is the formula for the volume of a sphere, which you've included in your problem. From the problem, you also know that r = 2. From here, you calculate the volume of 1 of the spheres, which turns out to be:

V = 33.51032

Since there are 20 spheres in this box, you multiple the volume of a single sphere by 20 to get the total volume occupied by the spheres.

V = 20 * 33.51032

V = 670.2064

If you round to 2 decimal places, this becomes 670.21.

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Answer:

Let the total distance Aileen ran be 'x'

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Refer to graph attached for graphical representation of distance travelled by both.

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Since it can be easily understood by the graph attached, that

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Now putting values of x and y in equation 3

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putting the values of t in both the equation 1 and 2

x=20t

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x  = 600 feet

So the distance ran by Aileen is 600 feet, whereas Andrew ran 450 feet.

Step-by-step explanation:

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7 0
2 years ago
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givi [52]

Answer:

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Step-by-step explanation:

See the step-by-step solution in the picture attached below.

I hope this answer will help you. Have a nice day !

7 0
3 years ago
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For the answer to the question above asking to s<span>olve 1/2(4x + 6) = 1/3(9x - 24) with and without using the LCD of the fraction.
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just multiply 1/2 to 4x + 6 which will result to 2x+3

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Step-by-step explanation:

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3) Thus, triangles are polygons.

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