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denis-greek [22]
2 years ago
9

If the diameter of a volleyball is 15.5 find its radius and volume​

Mathematics
1 answer:
WITCHER [35]2 years ago
6 0

Answer:

Radius: 7.75

Volume: 1949.82

Step-by-step explanation:

The radius is half the diameter, so 15.5/2 is 7.75

The formula for a sphere is V=4/3 (πr^3). All that needs to be plugged in is the radius. You should be able to use a calculator for this problem, so the rounded answer is 1949.82.

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For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

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b: It is the cut-off point with the y axis

We have the following points through which the line passes:

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So the slope is:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-5-2} {5 - (- 3)} = \frac {-7} {5 + 3} = - \frac {7} {8}

Thus, the equation of the line is of the form:

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We substitute one of the points and find "b":

2 = - \frac {7} {8} (- 3) + b\\2 = \frac {21} {8} + b\\b = 2- \frac {21} {8}\\b = \frac {16-21} {8}\\b = - \frac {5} {8}

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y = - \frac {7} {8} x- \frac {5} {8}

Answer:

y = - \frac {7} {8} x- \frac {5} {8}

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