The cross-section of a gutter is a circle 14 cm
in diameter. If water flows along the gutter
at 10 cm/s, how
many
litres does it carry per
minute?
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Answer:
If we want answer in liters per minute, it is easier to do some unit conversion upfront:
Dia = 1.4 dm, Flow = 1 dm/s or 60 dm/min
Multiply cross sectional area by flow
(π/4)d²·v = (π/4) (1.4 dm)²(60 dm/min) = 92 L/min
(recognizing that 1 dm³ = 1 L)
Step-by-step explanation:
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