A conical tent has base radius 21 m and vertical height 16 m. Each person inside needs 32 m³ of air. How many people can the tent hold? Take π = 22/7.

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Accepted Answer

231. Air inside = (1/3)πr²h = (1/3) × (22/7) × 441 × 16 = (1/3) × 22176 = 7392 m³. Number of people = 7392/32 = 231. (Dropping the 1/3 gives 693; using the diameter 42 m as the radius gives 924; allowing 16 m³ each instead of 32 m³ gives 462.)

A conical tent has base radius 21 m and vertical height 16 m. Each person inside needs $32 m^{3}$ of air. How many people can the tent hold? Take π = 22/7.

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A conical tent has base radius 21 m and vertical height 16 m. Each person inside needs 32m3 of air. How many people can the tent hold? Take π = 22/7.

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Areas & Volumes practice

A conical tent has base radius 21 m and vertical height 16 m. Each person inside needs $32 m^{3}$ of air. How many people can the tent hold? Take π = 22/7.