Question

a conical tent is to accommodate 11 persons each person's must have 4 square metres of space on the ground and 20 m cube of air to breath find the height of the cone

Answer 1

The conical tent can accommodate 11 persons each of whom must have 4 sq m of space

So 11 persons will have 11 * 4 = 44 sq. m of space on the ground

Therefore area of ground = 44 sq.m 

pi * r²= 44
r² = (44 * 7)/2

Now volume of tent= Air needed for breathing
⇒ 11 * 20 = 1/3 * pi * r² * h
⇒h = (20 * 11 * 3)/ pi * r²
⇒ h = (20 * 11 * 3) / {(22/7 * 44 *7)/2}
⇒h= 15 m