 Hi friends, and how are you doing today? The question says the capacity of a closed cylindrical vessel of height 1 meter Is 15.4 litre. This is the capacity of it. That is the volume How many square meter of metal sheet would be needed to make it? so we have a cylinder given to us whose height is given to us as 1 meter and Volume is given to us as 15.4 L. We need to find out the area of the sheet the metal sheet That will be required to make this cylinder, right? so here we are given volume of the cylindrical vessel as 15.4 litre needs to be Converted into meter since the height is given to us in meter and we need to find out the area also in meter So it will be 15.4 divided by 1000 to convert it into meter cube that means 154 divided by 10 1000 meter Also, we know that the volume of the cylindrical vessel the formula is pi r square h. So pi r square h is equal to 154 by 10,000 That implies 22 by 7 r square and h is given to us as 1 is equal to 154 divided by 10,000 That implies r square is equal to 154 into 7 the whole divided by 22 into 10,000 Let us simplify it We have r square as 7 into 7 divided by 10,000 can be written as 100 into 100 this implies we need to find out r that is the square root of 7 into 7 divided by 100 into 100 That further means that the radius is equal to 7 by 100 or 0.07 meter also We are given that We require a metal sheet To make this cylindrical vessel that means the area of this sheet is equal to what? It is equal to the total surface area of this cylinder, right? So we can write that area of sheet That is the metal sheet is equal to the total surface area of the cylindrical vessel the formula for total surface area of cylindrical vessel is 2 pi r r plus h. Let us substitute the values R is found out to be 7 by 100. Let's take it so 7 by 100 plus h that is the height of the cylinder is 1 So we have 11 by 25 getting multiplied by 7 Taking 100 as the LCM. So this is further equal to 0.4708 meter square. This is the area of the sheet and Our required answer for this session. So hope you understood the concept. Well, have a very nice day ahead