The distance of the wick to the edge of a cylindrical candle is 214 inches, and the volume of wax used in the candle is approximately 159 in.3 . Assuming the wick is located in the center of the candle, find the height of the candle to the nearest whole number.(1 point)
what is the aproxament height in inches
The volume of a cylinder is given by the formula:
V = πr^2h
Where:
V = volume
r = radius of the cylinder
h = height of the cylinder
Since the wick is located in the center of the cylinder, the radius of the cylinder is half the distance from the wick to the edge, which is 214/2 = 107 inches.
Now, we can plug in the values given:
159 = π(107)^2h
159 = π(11449)h
159 = 35888.8h
h ≈ 0.0044 inches
Therefore, the height of the candle is approximately 0.0044 inches.