Question

A company makes cylindrical candles by melting wax and pouring it into 3-inch diameter cylindrical jars. one block of candle wax with a volume of 360 cubic inches is used to make a box of 10 identical candles. what is the maximum height, to the nearest inch, the company can make their candles in order to use the greatest amount of the block of candle wax?

Answer 1

51 inches

Explanation:

Volume of cylinder = pi * R² * h

Diameter of cylindrical jar = 3 inches

Volume of wax cylindrical jar = 360 in³

Radius of cylinder = diameter / 2 = 3 / 2 = 1.5 in

V = pi * R² * h

360 = pi * 1.5² * h

360 = 22/7 * 1.5² * h

360 * 7 = 22 * 2.25 * h

2520 = 49.5h

h = 2520 / 49.5

h = 50.909090

Maximum Height, h = 51 inches (nearest inch)