BASED ON THE IMAGE BELOW, THE CYLINDRICAL CAN CONTAINS 1.5 LITRES OF COCUNUT MILK. THE HEIGHT OF THE CAN IS 15 CM. CALCULATE THE RADIUS OF THE CAN.

Question

I AM STUCK AND NEED HELP QUICKLY

 

Answer 1

With all due respect, these numbers are not working out...

 

Careful now...... that volume is in liters.

We need the density of the milk which I found at : http://www.sciencedirect.com/science/article/pii/S0260877405000804

 

It is on average .973 kg/m^3 with one pound of milk weighing an average of 8.5 lbs.

 

So in kilograms, the mass/weight is approximately 

1.5 liters x 1.5668821 quarts/liter x 1 gallon / 4 quarts x 8.5 lbs / 1 gallon x 1 kg/2.23lbs = 2.23965771020179... kg

 

Density = mass/volume ---> volume = mass/density  = 2.23965771020179/0.973 = 2.301806 cubic meters

 

                                            = 23018006 cubic centimeters

 

 

 

 

V = pi * radius^2 * height

 

2301806 =  pi * radius ^2  * 15 cm

 

Using 22/7 and solving for radius^2 ,

 

48826  = radius^2

 

radius = 221 cm

 

That's a pretty big can.

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Plugging in naively,

 

 1.5 = pi * radius^2 * 15

 

 15 = pi * radius^2 * 150  <-- clears the decimals

 

 0.1 = pi * radius^2

 

0.031826 = radius ^2 

 

radius = .1784 cm

 

That's one small can

 

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