Answer: To calculate the volume of the concrete required to make the drain, we need to find the volume of the cylinder formed by the outside diameter of the drain and subtract the volume of the cylinder formed by the inside diameter of the drain.
The formula for the volume of a cylinder is:
V = πr^2h
where V is the volume, r is the radius of the base of the cylinder, and h is the height of the cylinder.
The radius of the base of the outside cylinder is 0.5m (the diameter of 1m divided by 2) and the height is 10m. The radius of the base of the inside cylinder is 0.4m (the diameter of 0.8m divided by 2) and the height is also 10m.
So the volume of the outside cylinder is:
V = π * 0.5^2 * 10 = 15.7 m^3
and the volume of the inside cylinder is:
V = π * 0.4^2 * 10 = 12.6 m^3
To find the volume of the concrete required to make the drain, we subtract the volume of the inside cylinder from the volume of the outside cylinder:
15.7 m^3 - 12.6 m^3 = 3.1 m^3
So the volume of concrete required to make the drain is approximately 3.1 cubic metres. To the nearest tenth of a cubic metre, this is 3.1 m^3.