 Hello and welcome to the session. Let's discuss the following question. It says a wooden article was made by scooping out a hemispheres from each end of solid cylinder. If the height of the cylinder is 10 cm and its base is of radius 3.5 cm, find total surface area of the solid. So we are given a solid cylinder from which a hemisphere is cut out from each end. And we have to find the total surface area of the solid. So let's move on to the solution. We are given that the height of the cylinder is 10 cm, let's denote it by h and the radius of the cylinder is 3.5 cm. Let's denote it by r. Now the hemisphere is cut from each end. So the radius of hemispheres would be same as radius of cylinder. Now we have to find the total surface area of the solid. Now this is equal to the curved surface area of the cylinder plus the surface area of two hemispheres. Since both have the same radius so it would be twice of surface area of hemisphere. We are adding the curved surface area of the hemisphere to the curved surface area of cylinder because when two hemispheres are cut out from each end we get the curved surface of a hemisphere here right. So that is why we are adding the curved surface area of the hemisphere. Now if we denote this by a so this implies a is equal to curved surface area of cylinder which is 2 pi rh where r is the radius and h is the height of the cylinder and it is 2 into curved surface area of the hemisphere. Curved surface area of hemisphere is 2 pi r square. Now taking 2 pi r common we have h plus 2r. Now let's substitute the values of pi rh in the expression. So we have 2 into 22 by 7 into radius is 3.5 centimeter that is 35 by 10 into h that is the height which is 10 centimeter plus 2r that is 2 into 3.5. Now we have 22 into 10 plus 2 into 3.5 is 7.0 that is 7. So this is equal to 22 into 17 and it is equal to 374 centimeter square. So the total surface area of the article is 374 centimeter square. So this completes the question and the session. Bye for now. Take care. Have a good day.