Question

water flows at the rate of 10 m per minute through a cylindrical pipe having its diameter as 20 mm. how much time will it take to fill a conical vessel of base diameter 40 cm and depth 24 cm?5

Answer 1

Volume flown=1/3 PI*20^2*24=3200 Pi

volume flow in 1 min = (Pi* 2.5/10 * 2.5/10 * 1000) = 62.5 Pi

Therefore Time taken = 3200 Pi / 62.5 Pi = 51 min. 12 sec.

Answer 2

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.