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24-04-2019
Mathematics

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If the volume of a sphere is 288πcm3, what is the radius of the sphere in centimeters?

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musiclover10045 musiclover10045

24-04-2019

The formula for volume of a sphere is 4/3 x PI x r^3

Solve for r:

288PI = 4/3 x PI x r^3

Divide both sides by PI:

288 = 4/3 x r^3

Divide both sides by 4/3:

216 = r^3

Take the cubic root of 216 for r:

r = ∛216

r = 6

The radius is 6 cm.

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