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

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

### 4 Answers by Expert Tutors

Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
3.0 3.0 (1 lesson ratings) (1)
1
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
William S. | Experienced scientist, mathematician and instructor - WilliamExperienced scientist, mathematician and...
4.4 4.4 (10 lesson ratings) (10)
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

Arthur D. | Effective Mathematics TutorEffective Mathematics Tutor
5.0 5.0 (9 lesson ratings) (9)
0
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