Question 10.
(a)A cylindrical water tank of diameter 140cm & height 210cm is being filled
by a pipe of diameter 3.5cm through which water flows at rate of 2m/s.
Calculate the time it takes to fill the tank.
Answers
Answered by
1
Answer:
28 minutes (imp)
Step-by-step explanation:
R = 140/2 = 70cm,
volume of cylinderical tank =πR^2h
= 22/7 *(70)^2 *210 = 3234000cm^2
radius of pipe r = 3.5/2 = 1.75cm
length of pipe covered by water in 1 sec = 2m = 200cm ( say it l)
volume of water flows in pipe
in 1sec = πr^2l
= 22/7 * (1.75)^2 * 200 = 1925 cm^3
time it takes to fill the tank
= 3234000/1925 = 1680 sec
= 1680/60 = 28 minutes Answer
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