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tatiyna
3 years ago
10

The formula for the volume of a sphere is mc012-1.jpg. What is the formula solved for r?

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
3 0

Answer: The formula to calculate the radius of a sphere if we know the volume is: Cubic root [3V/(4∏)].


Solution:

The formula for the volume (V) of a sphere is:

V=(4∏/3) r^3

Solving for r: Multiplying both sides of the equation by 3/(4∏):

3/(4∏) V = 3/(4∏) [(4∏/3) r^3]

3V/(4∏) = r^3

Cubic root both sides of the equation (raising to the power 1/3):

Cubic root [3V/(4∏)] =Cubic root (r^3)

Cubic root [3V/(4∏)] = r

r = Cubic root [3V/(4∏)]

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In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle. Find the measure
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Given:

In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle.

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The measures of the 2 acute angles of the triangle.

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According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So,

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Answer:

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         <u> ×       21  </u>

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        <u>      664     </u>

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<u />

              30      +      3      tenths

     1       300           32         332

    20     600           64         664

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