 Hello friends and how are you all today? My name is Priyanka and let us discuss this question. It says a circus tent has cylindrical shape, surmounted by a conical roof. The radius of the cylindrical base is 20 meters. The heights of the cylindrical and conical portions are 4.2 meters and 2.1 meters respectively. Find the volume of the tent. So let us have a diagram to model this situation. Now here we have a tent having a cylindrical base and a conical roof. The radius of the base is given to us as 20 meters and the height of the cylinder is given to us as 4.2 meters whereas that of cone is given to us as 2.1 meters. We need to find out the volume of this tent. So volume of the tent is equal to volume of the cylinder, volume of the conical. So the volume of the cylinder plus volume of this conical roof that is the cone on adding these two volumes we will get the volume of the tent. Proceeding on further. Now we know that volume of cylinder is equal to pi r square h and volume of the cone is 1 by 3 pi r square. Let us say this is h2 and this is h1 as the heights of the cylinder and the cone are different from each other. So height of the cylinder be h1. So we have h1 is height of cylinder the conical roof and r is the common radius of cylinder as well as the cone. So we are given h1 as 4.2 meters, h2 as 2.1 meters and r as 20 meters. So let us substitute these three values. So we have volume of the tent, the tent is equal to. Now from here we can take pi r square common and we are left here with h1 plus 1 by 3 h2. On substituting these values we have pi as 22 by 7 r as 20 the whole square r square h1 is 4.2 plus 1 by 3 of h2 sorry that is 2.1. Further 22 by 7 into 20 the whole square let us solve this bracket first. We have 4.2 plus 2.1 divided by 3 which can be further written as 22 by 7 20 the whole square is 400, 4.2 plus this is 0.7 22 by 7 into 400 into 1 adding these two we have 4.9 that is 0.7 on getting divided by 7 we are left with 22 into 400 into 0.7 which gives us the answer as 6160 and since they all were in meter so the volume will be 6160 meter cube. So this is the required answer for the first question. So hope you understood the concept well here to find out the volume of the tent we found out the volume of the cylinder added the volume of the conical roof in that to get the required answer. So have a very nice day ahead and take care.