Reflection to The Giant Soup Can of Hornby Island

As i saw this puzzle, I found that i need to search the dimension of the Real Campbell’s Soup Can, A “medium-sized hybrid bike” size and the amount of water required to put out an average house fire.

Real Campbell’s Soup Can Dimension:

Height: h = 10.5 cm

Diameter: d = 7 cm

Radius = 3.5 cm

Ratio: h/r=10.5/3.5=3/1

A medium-sized hybrid bike's wheelbase is about 170cm (1.7m). As I noticed from the picture, water tank length is about 3 times of bike length. So we get the tank length is around 510cm (5.1m). Because the tank has the same proportions as the can, knowing h/r=3/1, we can get the radius and dimension of the tank.

Tank Dimension:

Height: h = 510 cm (5.1m)

Diameter: d = 340 cm (3.4m)

Radius = 170 cm (1.7m)

Knowing that the volume of cylinder is V=πr^2h, the water tank volume is about 46.3m^3, which is 46300L.

I searched that an average house fire may require 38000-110000 L of water. So this tank have enough water to put out an average house fire.

The picture above is the Red Cedar Stump in Surrey, which is an example of old growth forest that once covered all of Surrey. The stump is of a tree estimated at 500 to 1000 years old, 30 feet in circumference. 

Please use the height of the white fence as a reference to estimate the height of the stump.

Assume that the original tree had a similar base-to-height ratio to modern red cedars, and calculate:

• The approximate height of the stump based on your fence estimate.
• The approximate height of the original full tree, using the modern red cedar base-to-height ratio.
• The approximate volume of wood in the original tree.