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

To find the height of the cone, plug in all the numbers we know into the volume of a cone formula and solve for h.

Volume of a cone: 1/3(r²h)

1/3(1.5²h) = 12
Divide both sides by 1/3.

1.5²h = 36
Divide both sides by .

1.5²h = 11.46
Divide both sides by 1.5².

h = 5.09
Rounded to the nearest inch, 5.

The height of the cone is 5 inches.