Water flows at the rate of 10m per minute through a cylindrical pipe having its diameter 5mm. How much time it takes to fill a conical vessel whose diameter of the base is 40cm and depth 14cm.?? Plzz fast and be careful about the units
Answers
Answer:
Amount of water required to fill the conical vessel
= volume of conical vessel
= $$ \frac{1}{3} \pi (20)^{2} \times 24 = 3200 \pi cu.cm $$ .... (1)
Ammount of water that flows out of cylindrlcar
pipe in 1 minute = $$ \pi \times (\frac{5}{20})^{2} \times 10 \times 100 $$
= 62.5\pi cu.cm .... (2)
From (1) & (2)
Time erqired to fill the vessel = $$ \frac{3200 \pi }{62.5\pi }$$
= $$ 51.2 minutes. $$
Answer:
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Amount of water required to fill the conical vessel
= volume of conical vessel
= $$ \frac{1}{3} \pi (20)^{2} \times 24 = 3200 \pi cu.cm $$ .... (1)
Ammount of water that flows out of cylindrlcar
pipe in 1 minute = $$ \pi \times (\frac{5}{20})^{2} \times 10 \times 100 $$
= 62.5\pi cu.cm .... (2)
From (1) & (2)
Time erqired to fill the vessel = $$ \frac{3200 \pi }{62.5\pi }$$
= $$ 51.2 minutes. $$