 Hello and welcome to the session. Let's work out the following question. It says a tent is in the shape of a cylinder some surmounted by a conical top if the height and the diameter of the cylindrical parts are 2.1 meter and 4 meter respectively and This length height of the top is 2.8 meter 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 rupees 500 per meter square Note that the base of the tent will not be covered with canvas So let's move on to the solution We are given a tent which is in the shape of a cylinder surmounted by a cone and we are given that the height of the Cylindrical part is 2.1 meter and the diameter is 4 meter and we are given that the slant height of the conical top is 2.8 meter and we have to find the area of the canvas used for making the tent that is we have to find the Some of the surface area of the conical part and the cylindrical part to find the area of the Canvas used for making the tent, right? So let's move on to the solution now. We are given that height of cylindrical part is 2.1 meter let it be H and the diameter of Cylindrical part 4 meter Therefore radius of Cylindrical part will be 2 meter and let it be R Now we are given that the slant height of The conical part is 2.8 meter now We have to find the area of the Canvas used for making the tent So we need to find the surface area of the conical part and the surface area of the Cylindrical part and let the slant height be L now the surface area of the tent or we can say area of Canvas used for making let us denote it by a is equal to the surface area of conical part plus surface area of cylindrical part now surface area of cone is given by the formula pi R L Where R is the radius of the cone L is the slant height Pi is 22 by 7 and the surface area of the cone is given by the formula to pi R H Where R is the radius H is the height now here in this case radius of this Cylindrical part is same as radius of the conical part so here we substitute the values of Pi R L and H in the formula we take pi common Now R The radius is 2 meter slant height is 2.8 meter plus 2 into Radius that is 2 meter into H That is the height of the cylinder which is 2.1 meter Which is again equal to pi into 2 into 2.8 is 5.6 plus 4 into 2.1 is 8.4 Now pi is 22 by 7 and 5.6 plus 8.4 is 14 meter square the unit of the surface area And it is 44 meter square So area of the tent used for making the tent area of the canvas Used for making the tent is 44 meter square Now we have to find the cost of the canvas Used for making the tent and we are given that the cost of the tent per meter square is rupees 500 so the cost of 1 meter square of canvas is rupees 500 Therefore cost of 44 meter square of canvas would be 500 into 44 that is rupees 22,000 so the area of the canvas used for making tent is 44 meter square and the cost of the canvas is rupees 22,000 so this completes the question and the session bye for now take care have a good day