Answer:

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Verified answer

To find the volume of air in the tent, we need to calculate the volumes of both the cylindrical and conical parts and then add them together.

Let's start by finding the volume of the cylindrical part of the tent. The volume of a cylinder is given by the formula V_cylinder = π * r^2 * h, where r is the radius and h is the height. In this case, the radius (r) of the base of the tent is given as 7m and the height (h) of the cylindrical part is 20m:

V_cylinder = π * 7^2 * 20 = 3080π cubic meters

Next, let's calculate the volume of the conical part. The volume of a cone is given by the formula V_cone = (1/3) * π * r^2 * h, where r is the radius and h is the height. In this case, the radius (r) of the cone is also 7m, but the height (h) of the conical part is given as 4m:

V_cone = (1/3) * π * 7^2 * 4 = 392π/3 cubic meters

Finally, we can calculate the total volume of air in the tent by adding the volumes of the cylindrical and conical parts:

Total volume = Volume of cylindrical part + Volume of conical part

Total volume = 3080π + 392π/3

Total volume ≈ 3331.94 cubic meters

Therefore, the volume of air in the tent is approximately 3331.94 cubic meters.

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