 Hi and welcome to the session. Let us discuss the following question. The question says if the volume of a right circular cone of height 9 centimeters is 48 centimeter cube by the diameter of its space. 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 at 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. Now we can get the solution. In the question we are given that volume of a right circular cone is equal to 48 pi centimeter cube and it is also given to us that its height that is h is equal to 9 centimeters. We have to find the diameter of its base. Let the base radius be r centimeters. Now volume of a right circular cone is equal to 1 by 3 pi r square h. We are given that its volume is equal to 48 pi centimeter cube. So this implies 48 pi is equal to 1 by 3 pi r square h. Now h is given as 9 centimeters. So by substituting the value of h we get 48 pi equals to 1 by 3 into pi into r square into 9. Now this implies 48 pi into 3 pi pi into 9 is equal to r square. Now cancel pi from both numerator and denominator. On canceling 3 by 9 we get 1 by 3 and on canceling 48 by 3 we get 60. So this implies r square is equal to 60 and this implies r is equal to 4 centimeters. Now we have to find its diameter. So diameter of base of code is equal to 2 r. Substitute the value of r. r is equal to 4 centimeters. So this is equal to 8 centimeters. Hence our required answer is 8 centimeters. So this completes the session. Bye and take care.