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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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madreJ [45]

Answer:

  20 20/27

Step-by-step explanation:

  (2 2/3)(3 1/3)(2 1/3) = (8/3)(10/3)(7/3) = 560/27 = 20 20/27

_____

<em>Additional comment</em>

The first two numbers can be written as a difference and a sum:

  = (3 -1/3)(3 +1/3)(2 1/3)

  = (3·3 -1/3·3 +3·1/3 -1/3·1/3)(2 1/3)

  = (9 -1/9)(2 +1/3) = 9·2 +9·1/3 -1/9·2 -1/9·1/3 = 18 +3 -6/27 -1/27

  = 20 20/27

7 0
2 years ago
PLzz help I will give u more points don't spam or llf
padilas [110]
60 onces is 15lbs so then i beleve you have 11lbs too much
6 0
3 years ago
Read 2 more answers
2=ln(x+7) solve for x
maria [59]

Answer:

e^2 -7 = x

Step-by-step explanation:

2=ln(x+7)

Raise each side to the base of e

e^2 = e^ln (x+7)

The e^ln cancel

e^2 = x+7

Subtract 7 from each side

e^2 -7 = x +7-7

e^2 -7 = x

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2 years ago
What is the number of real solutions? : 8x^2-11x=-3
swat32
X=1, and 3/8 it is a mixed number.

4 0
3 years ago
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Mazyrski [523]

You are correct, That is the right answer!

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