water flows at the rate of 10 m per minute through a cylindrical pipe having it's diameter 20 mm. How much time will it take to fill a conical vessel of base diameter 40 cm and depth 24 cm?
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Answer:
Step-by-step explanation:
We need the volume of water flowing through the cylindrical pipe in 1 minute .
We first convert the measurement to cm.
10 mm = 1 cm
1m = 100 cm
Diameter = 20/10 = 2cm
Radius = 2/2 = 1cm
Volume = 3.142 × 1² × 100 = 314.2 cm³ in one minute.
Volume of the cone :
Radius = 40/2 = 20 cm
Volume = 1/3 × 3.142 × 20² × 24 = 10054.4 cm³
In one minute 314.2 cm³ is emptied into the tank.
How about 10054.4 cm³?
10054.4/314.2 × 1 = 32
= 32 minutes
It takes 32 minutes to fill the tank.
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