A cone has a diameter of 3 inches. The come holds 12 cubic inches of water. To the nearest inch, what is the height of the cone?

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