A tent has a cylindrical base of radius 10.5 m and height 4 m, with a conical roof of the same radius and height 3 m. If each person inside needs 5.25 cubic metres of air, how many people can the tent hold? (Take π = 22/7.)

Question

Accepted Answer

330. Base area \π r^2 = 22/7(110.25) = 346.5 m². Cylinder = 346.5 × 4 = 1386 m³. Cone = 1/3(346.5)(3) = 346.5 m³. Air = 1386 + 346.5 = 1732.5 m³, so people = 1732.5 ÷ 5.25 = 330. 264 uses the cylinder only; 462 forgets the 1/3 on the cone; 66 uses the cone only.

A tent has a cylindrical base of radius 10.5 m and height 4 m, with a conical roof of the same radius and height 3 m. If each person inside needs 5.25 cubic metres of air, how many people can the tent hold? (Take π = 22/7.)

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