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
Correct Answer: Option A
Explanation
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