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Svet_ta [14]
3 years ago
9

If a sphere’s volume is doubled, what is the corresponding change in its radius?

Mathematics
1 answer:
velikii [3]3 years ago
4 0
           Volume of a sphere = (4/3) (pi) (radius)³

The sphere's volume is proportional to the cube of its radius,
so the radius is proportional to the cube-root of the volume.

The only way to double a sphere's volume is to increase
its radius by the factor of
                                              ∛2 = 1.26 (rounded).
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Answer:

second term: 9

4th term:81

(3rd \: term)^{2}  = 9 \times 81

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\sqrt{729}  = 27

3rd term=27

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What are the values of rand s?<br><br>​
Vitek1552 [10]

Answer:

s=15

r=10

Step-by-step explanation:

What we know)

The measure of a line is 180º

If two parrel lines are cut by a transversal, the corresponding angles are congruent (corresponding angles postulate)

What we can figure out)

The angle measuring 3r+3s and 6r+3s are on the same line, so

3r+3s+6r+3s=180

3r+3s and 6r+s are corresponding, so

3r+3s=6r+s

Solve)

Now, we just need to solve the equations.

3r+3s+6r+3s=180 can be condensed into 9r+6s=180 by combining like terms. Then, you can divide by 3 to get 3r+2s=60

3r+3s=6r+s can be turned into 2s=3r by subtracting 3r and s.

So we have 3r+2s=60 and 2s=3r

We can substitute 2s for 3r

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