Question

The under-sea-water tunnel that connects England and France is the world's longest tunnel called also The Chunnel for The English Channel. It actually consists of three tunnels built side by side. Each tunnel is a half-cylinder that is 50,000 meters long and 4 meters high. How many cubic meters of dirt had to be removed to build the Chunnel?

Answer 1

2400000pi cubic meters of dirt had to be removed to build the Chunnel.

Explanation:

Volume of a half-cylinder can be stated as:

`V=(pi*r^(2)*h )/(2)` where

• pi is the constant π

• r is the radius (here the height)

• h is the height ( here the lenght)

Thus, one half-cylinder tunnel volume is:
`V=(pi*4^(2)*50000 )/(2)`=800000pi

Since there are 3 half-cylinder tunnels, 3×800000pi=2400000pi cubic meters of dirt had to be removed to build the Chunnel