about how long will it take to fill a cylinder with a radius of 50cm, & a height 60cm halfway?

Question

1. if 12.3 L per min will flow through a water faucet.

Answer 1

Volume of cylinder = [(pi)r² x height] = 471,238.898 cm³ or 471,238.898 mL or 471,238.898 cc

 

Since we are only filling the cylinder halfway, the volume in which we are interested is half of the volume calculated above, i.e. 235,619.449 cm³ or 235,619.449 cc

 

Water is flowing into the cylinder at a rate of 12.3 L/min or 12,300 cc/min.

 

[(235,619.449 cc)/(12,300 cc-min^-1)] = 19.156 minutes

 

 

Answer 2

Hi Sophia;

V=(3.14)(r²)(h)

3.14 is pie

Since this is "halfway"...

V=(0.5)(3.14)(50 cm)²(60 cm)

V=235500 cc

1000 cc = 1 liter

(1 liter/1000 cc)(235500 cc)

Let's cancel units where appropriate...

(1 liter/1000 cc)(235500 cc)

235.5 liters

 

The flow is 12.3 liters/minute.

We need minutes/liters.

(1)/(12.3 liters/minute)=0.08 minutes/liter

(235.5 liters)(0.08 minutes/liter)

Let's cancel units where appropriate...

(235.5 liters)(0.08 minutes/liter)

18.84 minutes

Answer 3

V=pi*(r^2)*h (volume of a cylinder)

  =3.14159*(50^2)*30, (30 is half of 60 and we fill the cylinder half full)

  =3.14159*2500*30

  =3.14159*75,000

  =235,619.25 cubic cm

  l liter=1000 ml and 1 ml=1 cubic cm

    235,619.25/1000=235.61925 liters

the flow is 12.3 liters per minute

   235.61925/12.3=19.156 minutes

answer: 19.156 minutes

 

By the way, why does l ml=1 cc ?

a liter is a cubic decimeter, a cube 1 dm by 1 dm  by 1 dm or 10 cm by 10 cm by 10 cm whose volume is 10^3 or 1000 cubic cm

but a liter is 1000 ml, so 1000 ml=1000 cc, and therefore 1 ml=1cc (cc=cubic centimeter and

ml=milliliter)(also note that milli means 1/1000)

Answer 4

Be sure to keep your significant figures.  There's a huge difference between answers but all with the right approach.  My answer came to 19.2 minutes.