 Hi and welcome to the session. I'm Kanika and I'm going to help you to solve the following question. The question says find the capacity in meters of a conical vessel with first path is radius 7 centimeters plant height 25 centimeters. Second path is height 12 centimeters plant height 13 centimeters. Before solving this question, we should know the formula for finding the volume of a cone. Volume of a cone is equal to 1 by 3 pi r square h where r is the base radius and h is the height of the cone. The knowledge of this formula is the key idea in this question. Let's now begin with the solution. In the first path, we are given that radius that is r is equal to 7 centimeters and plant height that is l is equal to 25 centimeters. We have to find the capacity meters of a conical vessel. That means we have to find its volume. For finding the volume, we need h. So let's first calculate h. Let height of cone be x centimeters. Then l square is equal to h square plus r square and this implies h square is equal to l square minus r square and this implies h is equal to square root of l square minus r square. By substituting the value of l and r, we get square root of 25 square minus 7 square centimeters. This is equal to 625 minus 49 centimeters and this is equal to square root of 576 centimeters and this is equal to 24 centimeters. Now we know the value of h so we can easily find volume. We know that volume conical vessel is equal to 1 by 3 pi r square h. Now here r is equal to 7 centimeters and h is equal to 24 centimeters. By substituting the values of r and h, we get 1 by 3 into 22 by 7 into 7 into 7 into 24 centimeter cube. On simplifying this, we get 1232 centimeter cube. We have to find the capacity in liters. So we will now change this volume into liters. We know that 1 liter is equal to 1000 centimeter cube. Now this implies 1 centimeter cube is equal to 1000 liter and this implies 1232 centimeter cube is equal to 1232 by 1000 liter and this is equal to 1.232 liters. Hence our required answer is 1.232 liters. So this completes the first part. Let's now move on to the second part. In second part, we are given that height that is h is equal to 12 centimeters and sand height that is l is equal to 13 centimeters. Now here we are not given the value of r so we will first calculate at let phase radius of cone b by centimeters. Then l square is equal to h square plus r square. Now this implies r square is equal to l square minus h square. This implies r is equal to square root of l square minus h square. By substituting the values of h and l we get square root of 13 square minus 12 square centimeters and this is equal to square root of 25 centimeters and this is equal to 5 centimeters. Now we know the value of r and h so we can now easily find volume of conical vessel and we know that volume of conical vessel is equal to 1 by 3 pi r square h. By substituting the values of r and h we get 1 by 3 into 22 by 7 into 5 into 5 into 12 centimeter cube is equal to 2200 by 7 centimeter cube. We have to find the capacity in liters. We know that 1000 centimeter cube is equal to 1 liter. This implies 1 centimeter cube is equal to 1 by 1000 liter. This implies 2200 by 7 centimeter cube is equal to 2200 by 7 into 1000 liter and this is equal to 11 by 35 liters. Therefore capacity of the conical vessel liters is 11 by 35 liters. Hence our required answer of the first part is 1.232 liters and for the second part is 11 by 35 liters. So this completes the session. Bye and take care.