 Hello and welcome to the session. I am Deepika here. Let's discuss the question it says. A spherical glass vessel has a cylindrical leg 8 cm long, 2 cm in diameter. The diameter of the spherical part is 8.5 cm. By measuring the amount of water it holds, a child finds its volume to be 345 cm2. Check whether she is correct. Titled above are the inside measurements and pi is equal to 3.14. Now we know that volume of cylinder is equal to where r is the base of this which is the height of the cylinder. Volume of cylinder is equal to 4 by 3 is the radius of the sphere. This is a key idea given in our question to help up this key idea to solve the above question. So let's start the solution. As vessel which has a cylindrical leg 8 cm in diameter which is equal to 2 cm radius of the cylindrical part is 1 cm of this cylindrical part which is equal to vertical portion. Now according to our key idea volume of a cylinder is pi r square h and this is equal to if pi is equal to 3.14 into 1 into 1 into this is equal to 25.12 cm cube. Let us give this as number 1. The diameter of the 0.5 cm therefore 2 cm and which is equal to 4 cm. The portion given by the formula 4 is equal to 3.14 equal to 3.14 into now 4.2 equal to 76 so volume of water in spherical portion is equal to 4 by 3 into 3.14 into 76.765 and this is again equal to now 4 into 3.14 is 12.56 into 76.765 cm cube and this is equal to 321 cm cube. Let us give this as number 2. Volume of water in a vessel is equal to volume of water in the cylindrical portion plus volume of water in the spherical portion. So volume of water in the vessel is equal to volume of water in the cylindrical portion plus volume of water in the spherical equation. Using 1 in volume of water in the vessel is equal to t1 point using is equal to 0.51 centimeter cube. But the child finds the volume of water in the vessel to be 345 centimeter cube because the volume of water in the vessel is 346.51 centimeter cube. The volume of water is centimeter cube. Above question is the volume centimeter cube is not centimeter cube. I hope the solution is clear to you.