Given:
The radius of a can is (3x^2-10). The height of the can is 2x.
To find:
The surface area of a label that would be glued around the can.
Solution:
It is known that the curved surface area of the cylinder is given by:
[tex]\text{CSA}=2\pi rh[/tex]So, the curved surface area of the given cylinder is:
[tex]\begin{gathered} \text{CSA}=2\pi(3x^2-10)(2x) \\ =2\pi(6x^3-20x) \\ =\pi(12x^3-40x) \end{gathered}[/tex]Thus, the answer is given above.
