A pillar candle is shaped like a cylinder with a radius of 1.5 inches. The candle holds 123 cubic inches of wax. How tall is the candle? Use 3.14 for pi. Round your answer to the nearest hundredth. (4 points)
12.50 inches
15.76 inches
17.41 inches
18.76 inches
We can use the formula for the volume of a cylinder, which is V = πr^2h, where V is the volume, r is the radius, and h is the height.
We are given the volume V = 123 cubic inches and the radius r = 1.5 inches. We can substitute these values into the formula and solve for h:
123 = 3.14 * (1.5)^2 * h
123 = 3.14 * 2.25 * h
123 = 7.065 * h
h = 123 / 7.065
h ≈ 17.41 inches
Therefore, the height of the candle is approximately 17.41 inches.