Barry M. answered 01/21/20
Professor, CalTech Grad, with Years of Successful Tutoring Experience
V of cylinder = pi r2 h = 12 pi
V of cone = pi r2 h /3 = 9 pi h /3 = 3 pi h
Therefore, 3 pi h = 12 pi
3h = 12
h = 4
Nya M.
asked 01/19/20A cylinder and a cone have the same volume. The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches. What is the height of the cone.
Barry M. answered 01/21/20
Professor, CalTech Grad, with Years of Successful Tutoring Experience
V of cylinder = pi r2 h = 12 pi
V of cone = pi r2 h /3 = 9 pi h /3 = 3 pi h
Therefore, 3 pi h = 12 pi
3h = 12
h = 4
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