 Hello and welcome to the session. My name is Asha and I shall be helping you with the following question which says, the curved surface area of a right circular cylinder of height 14 cm is 88 cm square. Find the diameter of the base of the cylinder. First let us learn the formula to calculate the curved surface area of a cylinder. Now suppose we have a cylinder of height 8 cm and its radius is r cm and its curved surface area is given by 2 pi r h. So with the help of this formula we are going to solve the above problem. So this is our key idea. Let us now start with the solution and there we are given. First the curved surface area as noted by a is equal to 88 cm square and second the height of the cylinder as noted by h is equal to 14 cm and we are required to find the diameter of the base of the cylinder. Now let r cm be the radius of the base and since we are given that curved surface area is equal to 88 cm square so this implies that 2 pi r h is equal to 88 cm square or this further implies that we have to find r so r is equal to 88 cm square upon 2 into pi into h or we have r is equal to 88 cm square upon 2 into 22 upon 7 into 14 cm since at the beginning of this exercise we are given that we have to assume pi is equal to 22 upon 7 or simplifying it further we have r is equal to 88 cm square into 7 upon 2 into 22 into 14 cm. Now 7 2s are 14 22 into 4 is 48 and 2 2s are 4 4 cancels of the 4 so we have r is equal to 1 cm or we can say that radius of the base is equal to 1 cm and we have to find the diameter of the base so diameter of the base is equal to 2 times the radius of the base so 2 into 1 cm is equal to 2 cm hence our answer is the diameter of the base of the right circular cylinder is equal to 2 cm so this completes the session bye and take care.