(2) A conical tent is to accommodate 11 persons. Eachperson must have 4 square metre of the space one ground and 20 cubic metres of air to breathe.Find the height and radius of the tent. [3 marks]Ans.

(2) A conical tent is to accommodate 11 persons. Eachperson must have

1.	(2) A conical tent is to accommodate 11 persons. Eachperson must have 4 square metre of the space one ground and 20 cubic metres of air to breathe.Find the height and radius of the tent. [3 marks]Ans.
Answer» As each person needs 4 sq.m space on groundSo 11 person will need 44 sq.m space on the ground.Therefore,Area of ground = 44sq.mπr = 44sq.mr = 44/π .......(1)and each person needs 20cu.m of airSo 11 persons will need 220 cu .m of airTherefore volume of tent = 220 cu.m1/3πr h = 220cu.m(1/3π)(44/π)h = 220 ( from 1 )1/344h = 220h = 2203 / 44h = 5*3h = 15 cm