Campbell Soup Problem
Solution:
I first found Campbell Soup cans have a height of 4.25 in and a diameter of 3.25 in (Flynn, 2020). In cm, this is 10.80 cm in height and 8.23 cm in diameter
Then I found the average length of a bike which is 175 cm (Ellis, 2021)
I then estimated that the bike would fit approximately 3 times across the length of the large soup can. So the height of the large soup can is 175 cm*3= 525 cm
To find the diameter of the large soup can, I use the size of a normal-sized soup can and scale factors:
Scale factor = Height of large can/Height of small can = 525 cm/10.80 cm= 48.61
To find the diameter of the large can, multiply the scale factor by the diameter of the small can: 48.61*8.23 cm = 400.07 cm
So dimensions of the large can/tank have a height of 525 cm and a diameter of 400.07cm
The volume of the large soup can:
V=pi*r^2*h = (400.07/2)^2(525) = 65,996,538 cm^3
I then found the volume of water to put out a house fire is 20,000 gallons (Kiser Construction, 2021)
20,000 gallons * 3785.41 cm31 gallon = 75,708,236 cm^3
Since the volume of the large soup can is 65,996,538 cm^3 so it's not enough to put out a house fire
Extension:
One way I can extend this problem is by having students solve the problem:
How many average-sized water bottles would be needed to hold the same volume of water as the fire department soup tank?
References:
Ellis, C. (2021, June). Find a Bike Lock that Works. The Best Bike Lock.
https://thebestbikelock.com/bike-storage-ideas/best-bike-storage-shed/what-size-shed-for-bikes/
Flynn, A. (2020, June). How big is a Campbell soup can? Greedhead.
https://greedhead.net/how-big-is-a-campbell-soup-can/
Kiser Construction. (2021). How Much Water is Used to Put Out a House Fire?
https://www.kiserrenovations.com/about-us/blog/entryid/4/how-much-water-is-used-to-put-out-a-house-fire
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