A pipeline is assembled in horizontal cylindrical blocks 10

A pipeline is assembled in horizontal cylindrical blocks 10 m long and 1.2 m in diameter. Inside one block, the distance from the oil surface to the bottom, that is to the lowest point of the pipe cross-section, is 0.9 m. What is the volume of oil in the block?

Solution

We know that volume of a cylinder is r²h, where r is the radius and h is its height ( in this case, length as the cylindrical blocks are horizontal). Assuming that the pipe is full, since the distance from the oil surface to the bottom is 0.9 m, the internal diameter of the cylindrical blocks is 0.9m. Hence the internal radius is 0.9/2 = 0.45m. Therefore, the volume of oil in a block is (0.45)² *10 = 10 *0.2025 = 2.025 = 2.025* 3.14159 = 6.36171975 = 6.36 cu.meters (on rounding off to 2 decimal places).