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

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3 Answers

1cc (cubic centimeter) = 1 mL
 
V = Pi* r* h [cc]
 
convert from [cc] to [L] => [cc] x[1 mL/ 1cc] x [1L/ 1000mL] => [L]
 
V = 471 L,
 
(1/2) V = 235.6 L
 
t = [(1 min) / 12.3 L ] x 235.6 L  = 19.2minutes
 
 

Comments

Yeah. I forgot it was asking for half the volume. You got it now?

Comment

Hi Sophia;
Our first priority is to establish the volume of the cylinder.
V=(3.14)(r2)(h)
3.14 is pie.
V=(3.14)(50 cm)2(60 cm)
V=(3.14)(2500 cm2)(60 cm)
V=471000 cc
 
There are 1000 cc in 1 liter.
We must convert...
V=(471000 cc)(1 liter/1000 cc)
Let's cancel units where appropriate...
V=(471000 cc)(1 liter/1000 cc)
V=471 liters
 
12.3 l/min is the flow
We need to know minutes.
Therefore, we need to know the minutes/liters.
The inverse of 12.3 liter/min is
0.08 min/liter
(471 liters)(0.08 min/liter)
Let's cancel units where appropriate...
(471 liters)(0.08 min/liter)
37.68 minutes
Halfway=37.68 minutes/2=18.84 minutes
V = π r2 h = (22/7)502 60 ≈ 471428.51 cm3
V =            3.14*2500*60 ≈ 471000 cm3  

V ÷ 2 = 235714.29 cm3 ≈ 235.71 L
V / 2 = 235500 cm3 

(1 m3 = 1000 L  or  1000 cm3 = 1 L)

235.71 ÷ 12.3 ≈ 19.16 minutes
235.5 / 12.3 ≈ 19.14


Sophia, if you solve problems online, computer usually suggests the value of π "pi" 3.14 or 22/7 and till what place value you have to round your answer. If you do not follow those recommendations, computer will mark your answer as wrong one.