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Water flosser the rate of 10 M per minute from a cylindrical pipe 5 mm in diameter how long would it take to fill a conical vessel was diameter and surface area is 40 cm and depth 24 cm

Posted by H B 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Anshika & Aliens???? 6 years, 11 months ago

Radius of the pipe = 5/2 mm = 5/2 x 1/10 cm = 1/4 cm Speed of water = 10 m/min = 1000 cm/min Volume of water that flows in 1 minute = Π r2 h = 22/7 x 1/4 x 1/4 x 1000 = 1375/7 cm3 Radius of conical vessel = 40/2 = 20 cm; Depth = 24 cm Therefore, Capacity of the vessel = 1/3 x Π r2 h = 1/3 x 22/7 x 20 x 20 x 24 = 70400/7 cm3 Therefore, Time required to fill the vessel = capacity of the vessel / volume of water flowing per minute = 70400/7 / 1375/7 = 70400/7 x 7/1375 = 256/5 minutes = 51 min 12 sec

3Thank You

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