 Hi and welcome to the session. Today we will discuss the following question. The question says, the lateral surface area of a hollow cylinder is 4224 cm2. It is cut along its height and formed a rectangular sheet of width 33 cm. Find the perimeter of rectangular sheet. Before proceeding for the solution, let's recall the formula of lateral surface area of cylinder. And that is equal to 2 pi r h, where r is the radius of the base of cylinder and h is the height of the cylinder. This is the key idea for this question. Let's see its solution now. Suppose we have a cylinder whose lateral surface area is 4224 cm2. Now this is cut along its height and formed a rectangular sheet of width 33 cm. Now its width is 33 cm and this is formed by cutting the cylinder along its height. That means the height of the cylinder is the width of the rectangular sheet that is 33 cm. So here the height h of cylinder is equal to 33 cm. Now we already have lateral surface area of cylinder is equal to 2 pi r h and in question lateral surface area is given to be 4224 cm2. So let us substitute this. This will be equal to 2 pi r h h is height that is 33 cm. Dividing both sides by 33 we will get 4224 upon 33 equal to 2 pi r into 33 upon 33. So this will give us 128 equal to 2 pi r. Therefore 2 pi r is equal to 128 cm. So this 2 pi r is the circumference base of the cylinder this way. So that means length of the rectangular sheet is equal to 2 pi r that is 128 cm. Because the circumference of the base of the cylinder forms the length of the rectangular sheet. So this is 128 cm. Now we have the rectangular sheet whose length is 128 cm and breadth is 33 cm. So let us find out the perimeter of rectangular sheet that is equal to 2 into L plus B. Where L is the length of the rectangle and B is the breadth of the rectangle. Substituting the values 2 into L that is 128 cm B that is 33 cm. This is equal to 22 cm. So the perimeter of the rectangular sheet is 322 cm. And thus 322 cm is our required answer for this question. With this we finish this session. Hope you must have understood the question. Goodbye take care and have a nice day.