A hemispherical tank of diameter 10cm is filled by water issuing from a pipe of radius 20cm at 2m per second . Calculate correct to 3 significant figure the time in minutes , it takes to fill the tank.
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Answer:
v = 2/3 πr^3 = 250π/3 cm^3
now, the pipe produces a cylinder with radius 20cm and length 2m each second. The volume of that cylinder is
πr^2 h = π*400*200 = 80000π cm^3/s
So the tank will fill in (250π/3) / (80000π) = 1/960 seconds
Something tells me your dimensions are off.
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