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Georgia [21]
3 years ago
6

A sphere has a volume of approximately 113 cubic units. Which of the following best represents the radius of the sphere?

Mathematics
1 answer:
Kitty [74]3 years ago
4 0

Answer:

H. 3 units

Step-by-step explanation:

In order to answer this question, we have to apply the formula for the sphere volume. The formula is:

V=\frac{4}{3} \pi r^{3}

Plugging the given number into V, we calculate that:

113 = \frac{4}{3}\pi r^{3}\\84.75 = \pi r^{3}   \\

If π=3.14, the radius is:

r ≈ 3 units.

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It's a simultaneous equation:
Steps:
1.Number the equations..

a+b=77 -1
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2. Choose what variable you want to use. In this case I would use the "b". Since the signs in front of the "b's" are different, add the two equations together

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+ + +
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Which gives;
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Then solve to find a:
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3.Then plug the "a" value into any of the original equations to find the "b" value. I would use equation 1 since the all the variables are positive.

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