Q12 of 189 Page 500

A conical tent is to accommodate 11 persons. Each person must have of the space on the ground and of air to breath. Find the height of the cone.

Given,


Number of person in the room = 11


Each person covers area = 4m2


Total area covered by all = 44m2


πr2 = 44



Volume of the cone = 220m3


We know that,


Volume of the cone =





Hence, the height of the cone will be 15m


More from this chapter

All 189 →
10

Two cones have their heights in the ratio 1:3 and the radii of their bases in the ratio 3:1. Show that their volumes are in the ratio 3:1.

 11

A circus tent is cylindrical to a height of 3 meters and conical above it. If its diameter is 105 m and the slant height of the conical portion is 53 m, calculate the length of the canvas 5 m wide to make the required tent.

 13

A cylindrical bucket, 32 cm high and 18 cm of radius of the base, is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is 24 cm, find the radius and the slant height of the heap.

 14

A cylinder and a cone have equal radii of their bases and equal heights. If their curved surface areas are in the ratio 8:5, show that the radius and height of each has the ratio 3:4.