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Question

Find the radius of the sphere with a volume of 4500πcubicyards.


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Solution

Finding the radius of the sphere when the volume is given

Let the radius of the sphere be ryards.

Volume of a sphere of radius r =43πr3cubicyards

43πr3=4500π43r3=4500 (Dividing both sides by π)

r3=4500×34r3=3375

r33=15×15×153 (Taking cube roots on both sides)

r=15yards

Hence, the radius of sphere is 15yards .


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