A cylindrical tank of diameter 56 cm has been filled to the brim with oil. Soon after, it started leaking. In 5 hours, 36960cm3 oil had spilled. What is the rate of falling of height of oil inside the tank (in cm/h) considering it is uniform?
(a) 1.5
(b) 2
(c) 3
(d) 3.5
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Given:
Diameter = 56 cm
Time = 5 hours
Oil spilled = 36960 cm³
To Find:
The rate of falling of height of oil inside the tank (in cm/h) considering it is uniform
Explanation:
volume of oil spill/h =
36960/5 =7392 cm³
let the drop in height of the oil be h
then
πr²h = 7392
= (22/7) × 28×28× h = 7392
= h = (7392×7)/(22×28×28)
= h = 3
Answer = 3 cm/h
Option (c) correct option.
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