Answer:
8 cm
Step-by-step explanation:
See the diagram below.
The triangle formed by the radius, half the chord length, and the distance (d) from the center to the water is a right triangle with hypotenuse 20 cm and one leg length 16 cm. Then the other leg (d) can be found using the Pythagorean theorem:
d^2 + 16^2 = 20^2
d = √(400 -256) = 12
The depth of the water is the difference between this distance and the radius, so is ...
20 cm - 12 cm = 8 cm
The maximum depth of the water in the pipe is 8 cm.
