Question #9a6d1

1 Answer
Feb 13, 2017

0.095 cms /sec

Explanation:

Let volume of water in the cylindrical tank be V litres, when water has an height of 'h' metres. Volume of water would be #pi h # cubic metres

V= #1000 pi h# (because 1 cubic metre equal 1000 litres)

Differentiating both sides, it would be

#(dV)/dt= 3= 1000 pi (dh)/dt#

Rate of change of height #(dh)/dt=3/(1000pi)#= 0.000955 m/s=0.095 cms/s