Question

A hose dispenses 1,413 cm³ of water every minute into a cone with a radius of 60 cm and a height of 150 cm.

How long will it take to fill the cone?

Use 3.14 to approximate pi.

Answer 1

Answer:

400 minutes

Step-by-step explanation:

Given:

Radius of cone = 60 cm.

Height of cone = 150 cm.

∴ Volume of cone = (1/3) πr²h

                              = (1/3) * (3.14) * (60)² * 150

                              = 565200 cm³

∴ Time taken = (565200/1413)

                      = 400 minutes

                      = 6 hours 40 minutes.

Hope it helps!

Answer 2

Answer :-

→ 6 hr 40 minutes .

Step-by-step explanation :-

Given :-

→ The volume of water in cone for 1 minute = 1,413 cm³ .

→ Radius of cone = 60 cm .

→ Height of cone = 150 cm .

→ π value = 3.14 .

To find :-

→ The time taken to fill the cone .

Solution :-

$\because$ Total volume of cone = 1/3 πr²h .

= 1/3 × 3.14 × 60 × 60 × 150 .

= 5,65,200 cm³ .

Since, in 1 minute hose fills the tank = 1,413 cm ³ .

Therefore, the time taken to fill 5,65,200 cm³ volume of cone = 5,65,200/1,413 .

= 400 minutes .

= 6 hr 40 minutes .

Hence, in 6 hr 40 minutes hose fills the cone .