mayahzurey mayahzurey

15-03-2018
Mathematics

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What is the diameter of a cone with a height of 8m and volume of 150pi m^3?

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musiclover10045 musiclover10045

15-03-2018

V = PI x r^2 x h/3

150 = 3.14 x r^2 x 8/3

150 = 3.14 x r^2 x 2.67
150 = 8.373 x r^2

r^2 = 150/8.373
r^2 = 17.914
r = sqrt(17.914)
r = 4.23

diameter = r x 2 = 4.23 *2 = 8.46 meters (Round answer as needed)

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