Water flows out of a pipe at a rate of 40\(\pi cm^2\) per seconds into an empty cylinder container of base radius 4cm. Find the height of water in the container after 4 seconds.
A
10 cm
B
14 cm
C
16 cm
D
20 cm
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
Volume of a cylinder = \(\pi r^2h\)
40\(\pi cm^3\) = \(\pi. 4^2h\)
40\(cm^3\) = 16h
h = 2.5cm/sec
In 4 seconds, 2.5cm x 4
= 10cm
Source: Myschool Past Questions Archive (Record #49992)