Volume of tank V = 4πradius^3/3
where radius of tank=1.5 m
Pipe radius, r = 0.3 m
pipe length (per second)=0.2 m
Volume per second, v= πr^2*L
Time = V/v in seconds.
A spherical tank of diameter 3m is filled with water from a pipe of radius 30cm at 0.2m/s.calculate an corect to 3s.f the time in minute it take to fill the tank.thankyou godbless
5 answers
A hemispherical tank of diameter 10m is filled by water issuing from a pie of radius 20cm at 2m per second.calculate,correct to three significant figures the time, in minutes,it takes to fill the tank.
17.36 minutes
a hemispherical tank of diameter 10m is filled by water issuing from a pipe of radius 20 cm at 2m per seconds. calculate correct to 3 significant figures in time in minutes it takes to fill the tank.
Solution
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~Diameter of tank =3m
~Radius of tank is 1.5m
~velocity of water flow in pipe =0.2m/s
~from the velocity of pipe, it is clear that the ~lenght of pipe(L) is 0.2m
~Radius of pipe in meters =0.3m
Time in minutes to fill the tank =(1/60)(volume of tank/volume of pipe)
~volume of tank = (1/3)(4×pi×r×r×r)
=(1/3)(4×(22/7)×1.5×1.5×1.5)
=14.1429m^3/s
~ volume of pipe per second = pi ×r×r×L
=(22/7)×0.3×0.3×0.2
= 0.0566m^3/s
Therefore time in minute to fill the tank =(1/60)(14.1429/0.0566)
=4.16 minutes
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~Diameter of tank =3m
~Radius of tank is 1.5m
~velocity of water flow in pipe =0.2m/s
~from the velocity of pipe, it is clear that the ~lenght of pipe(L) is 0.2m
~Radius of pipe in meters =0.3m
Time in minutes to fill the tank =(1/60)(volume of tank/volume of pipe)
~volume of tank = (1/3)(4×pi×r×r×r)
=(1/3)(4×(22/7)×1.5×1.5×1.5)
=14.1429m^3/s
~ volume of pipe per second = pi ×r×r×L
=(22/7)×0.3×0.3×0.2
= 0.0566m^3/s
Therefore time in minute to fill the tank =(1/60)(14.1429/0.0566)
=4.16 minutes
3 answers