two objects are travelling toward each other on a collision course. One object is doing 800 km / hour. The other is doing 1000 k
1 answer:
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Answer:
The rate at which water is being pumped into the tank is 13,913.27 cubic centimetre per minute
Step-by-step explanation:
Given that, the height of the conical tank is 13 meters and diameter is 3 meters.
Radius = meters
......(1)
The volume of the cone is
Now putting
Differentiating with respect to t
Given that, the water level is rising at a rate of 17 cm per minute when the height 1 meter= 100 cm .i.e cm/min
Putting
≈7,113 cubic centimetre per minute
The volume of water increases 7,113 cubic centimetre per minute while 6,800 cubic centimetre per minute is leaking out.
It means the required rate at which water is being pumped into the tank is
=(7,113+6,800)cubic centimetre per minute
=13,913 cubic centimetre per minute
