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

Question

if 12.3L per min will flow through a water faucet

Answer 1

1cc (cubic centimeter) = 1 mL

 

V = Pi* r² * 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

 

 

Answer 2

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.

Answer 3

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