Wednesday, October 21, 2015

Soup Can Puzzle

Volume = pi x r^2 x h
Goal: To find out radius and height of the real water tank in order to figure out the volume
Photo -
Height of bike: 5.5 cm
Diameter water tank: 10.5 cm

Real Life -
Campbells soup: 11.5 cm x 8.5 cm
Height of bike: 110 cm (looking up the height of a regular bike)

Using the information above, my goal is to find the diameter and height of the water tank.
I found the diameter by finding the ratio of the height of bike and water tank in the picture vs real life:
10.5 cm : 5.5 cm = d : 110, so the diameter is d = 210 cm.

Using the information above, I then found out the projected height of the water tank. I used the diameter and height of the soup can, and the projected diameter of the real water tank in order to find a projected height of the water tank:
210 cm : h = 8.5 cm : 11.5 cm, where h = 284.12 cm.

Therefore, the volume of the soup can water tank would be
V = pi x r^2 x h
= pi x (105)^2 x (284.12) = 9840797.08 cm^3 = 9840.79708 Litres

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