melissas1102 melissas1102
  • 06-11-2018
  • Mathematics
contestada

A cone has a diamete of 3 inches the cone hold 12 cubic inches of water to the nearet inch what is the height of the cone

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johnkleop123 johnkleop123
  • 06-11-2018

Volume for a cone is 1/3 pi * r^2*h, where r is radius and h is height. We have diameter = 1/2 radius. Thus, radius = 1.5in. We also have volume is 12 in. Using formula for volume of a cone and plugging in what we know, we have 12 = 1/3*pi*(1.5)^2*h, were solving for h. To get, h= (12*3)/(pi*(1.5)^2), which is approximately 5.0931in, 5 inches




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