Question

A storage tank holds 235,500 in^3 of a chemical. The chemical is dispensed to completely fill 25 identical cylindrical containers, each with a radius of 5 in. What is the height of the cylindrical containers? Use 3.14 to approximate pi.

Answer 1

The volume of a cylinder is given by:
πr²h
The volume of these 25 containers should be equivalent to the volume of chemical. Thus:
235,500 = 25 x 3.14 x 5² x h
h = 120 inches

Answer 2

Volume of a cylinder is given by V = πr^2h

Since the content of the storage tank completely filled the 25 identical cylinders, this means that the volume of the 25 cylinders combined is equal to the volume of the storage tank.

25(πr^2h) = 235,500
πr^2h = 235,500/25 = 9,420
h = 9,420/(3.14 x 5^2) = 9,420/78.5 = 120.

Therefore, the height of the cylinderical containers is 120 in