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25-04-2017
Mathematics

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A sphere with a radius of 15 cm has the same volume as a cylinder with a radius of 5 cm. What is the height of the cylinder?

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25-04-2017

Vol of sphere = (4/3) pi r^3 and vol of cylinder = pi r^2 h

so

(4/3) pi 15^3 = pi (5)^2 h

(4/3) * 15^3 = 25h

h = [(4/3) * 15^3 ] / 25 = 180 cm

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