A conical tent is to accommodate 11 persons. Such person should have 4 sq.m of space on the ground and 20 cubic metres of air to breathe? Find the height of the cone.

A cloth having an area of 165m^2 is shaped into the form of a conical tent of radius 5m find the volume of the cone.

A circus tent is cylindrical upto a height of 3 m and conical above it. If the diameter of the base is 105 m and the slant height of the conical part is 53 m, find the total cost of the canvas used to make the tent when the cost per square metre of the canvas is ? 10.

The angle of elevation theta of the top of a light house, as seen by a person on the ground, is such that tan theta=5/2 , When the person moves a distance of 240 m. towards the light house, the angle of elevation becomes phi such that tan theta=3/4 . Find the height of the light house.

A tent is in the shape of a cylinder surmounted by a conical top.If the height and diameter of the cylindrical part are 2.1m and 4 m respectively, and the slant height of the top is 2.8 m, find the area of the canvas used for making the tent. Also, find the cost of the canvas of the tent at the rate of Rs 500 per m^2 (Note that the base of the tent will not be covered with canvas.)

Water is dripping out from a conical funnel at a uniform rate of 4c m^3//sec through a tiny hole at the vertex in the bottom. When the slant height of the water is 3cm , find the rate of decrease of the slant height of the water-cone. Given that the vertical angle of the funnel is 120^0dot

A tent is the form of a cylinder of diameter 15 m and height 2.4 m, surmounted by a cone of equal base and height 4 m. Find the capacity of the tent and the cost of the canvas at Rs. 50 per square metre.

A truck starts from rest and accelerates uniformly at 2.0 m s^-2 . At t = 10 s, a stone is dropped by a person standing on the top of the truck (6 m high from the ground). What are the:- velocity of the stone at t = 11s ? (Neglect air resistance.)

A tent is in the form of a right circular cylinder, surmounted by a cone. The diameter of the cylinder is 24 m. The height of the cylindrical portion is 11 m, while the vertex of the cone is 16 m above the ground. Find the area of the canvas required for the tent.

How many persons can be accommondatd in a dining hall of dimensions (20cmxx16cmxx4.5cm) , assuming that each persons requires 5 cubic metres of air?