Question

A storage tank holds 115,500 in3 of a chemical. The chemical is dispensed to completely fill 25 identical cylindrical containers, each with a radius of 3.5 in.

What is the height of the cylindrical containers? Use 3.14 to approximate pi and express the answer as a whole number

Answer 1

The answer is 120.1 in

The volume of the cylinder (V1) is
V1 = π · r² · h (r - radius, h - height)
The volume of the storage tank (V) is the volume of 25 cylindrical containers:
V = 25 · V1 = 25 · π · r² · h

It is known:
V = 115500 in³
π = 3.14
r = 3.5 in
h = ?

V = 25 · π · r² · h
⇒ 115500 = 25 · 3.14 · 3.5² · h
115500 = 961.625 · h
⇒ h = 115500 ÷ 961.625 = 120.1 in