Question

Water flows at a rate of 10m per minute through a cylindrical pipe having it's diameter as 20mm. How much time will it take to fill a conical vessel of base diameter 40 CM and depth 24 cm​

Answer 1

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.