 Hi and welcome to the session. Let us discuss the following question. The question says the volume of a right circular cone is 9,856 centimeter cube. If the diameter of the base is 28 centimeters prime, first part is height of the cone, second part is plant height of the core, third part is curve surface area of the core. Let's now begin with this illusion. In the first part we have to find the height of the cone. In the question we are given that volume of right circular cone is 9,856 centimeter cube. Diameter of the base is 28 centimeters as diameter is equal to 28 centimeters. So this implies radius of the base is equal to 28 by 2 centimeters and this is equal to 14 centimeters. We have to find the height of the cone. So let height of right circular cone be at centimeters. We know that volume of a right circular cone is equal to 1 by 3 pi r square h. In the question we are given the volume as 9,856 centimeter cube. So this implies 9,856 is equal to 1 by 3 pi r square h. We know the value of r. So by substituting the value of r we find that 9,856 is equal to 1 by 3 into 22 by 7 into 14 into 14 into h. Now this implies h is equal to 9,856 into 3 into 7 by 22 into 14 into 14. On cancelling 7 by 14 we get 1 by 2. On cancelling 9856 by 2 we get 4928. On cancelling 4928 by 40 we get 704 by 2. So now we have 704 into 3 by 22 into 2. On cancelling 704 by 22 we get 64 by 2. Now on cancelling 2 by 64 we get 32. Again cancelling 32 by 2 we get 16. So now we are left with 16 into 3 and this is equal to 48. So height is equal to 48 centimeters. In the second part we have to find the slant height of the cone. From the first part we know that height of right circular cone that is h is equal to 48 centimeters. And we also know that radius of right circular cone that is r is equal to 14 centimeters. We know that l is equal to square root of h square plus r square. So by substituting the values of r and h we get 48 square plus 14 square centimeters. And this is equal to this is equal to square root of 2304 plus 196 centimeters. This is equal to square root of 2500 centimeters. And this is equal to 50 centimeters. So slant height of the cone is 50 centimeters. This completes the second part. In third part we have to find the curved surface area of the cone. We know that curved surface area of a cone is equal to pi rl. From the second part we know that l is equal to 50 centimeters. And we also know that r is equal to 14 centimeters. So by substituting the values of r and l in this we get 22 by 7 into 40 into 50 centimeters square. On cancelling 14 by 7 we get 2. So this is equal to 2200 centimeters square. Hence our required answer of the first part is 48 centimeters. Of the second part is 50 centimeters. And of third part is 2200 centimeters square. So this completes the session. Bye and take care.