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

a. 1B) 4C) 5D) 8

Volume of a cone: V = pi (r^2) h/3 to solve for height (h), divide pi and r^2 from both sides canceling it out in the right making v/pi (r^) = h/3 then multiply 3 by both sides to cancel the 3 on the right leaving

h = (3) V/pi (r^2)

since it is known the diameter is 3 inches, the radius is 1.5 because the radius is half the diameter

the volume is also known to be 12 cubic inches so plug in what you know

H = (3) 12/pi (1.5^2)

to get the height to be approximately 5.093in