Volume of a cylindrical shell: π R 2 h − πr2hThe volume of a cylindrical shell (a larger c...

Volume of a cylindrical shell: π R 2 h − πr2h

The volume of a cylindrical shell (a larger cylinder with a smaller cylinder removed) can be found using the formula shown, where R is the radius of the larger cylinder and r is the radius of the smaller. Factor the expression completely and use the result to find the volume of a shell where R = 9 cm, r = 3 cm, and h = 10 cm. Answer in exact form and in approximate form rounded to the nearest whole number.