Aseries of three? separate, adjacent tunnels is constructed through a mountain. its length is approximately 25 kilometers. each of the three tunnels is shaped like a? half-cylinder with a radius of 5 meters? (the height of the? tunnel) and a length of 25 kilometers? (the length of the? tunnel). how much earth? (volume) was removed to build the three? tunnels

Step-by-step explanation:

We have been given that a series of 3 separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers.

Each of the three tunnels is shaped like a half-cylinder with a radius of 5 meters.

Since we know that volume of a semicircular or a half cylinder is half the volume of a circular cylinder.

, where,

r = Radius of cylinder,

h = height of the cylinder.

Upon substituting our given values in volume formula we will get,

Therefore, the volume of earth removed to build the three tunnels is .

just sum

10 + 10 = 20