Question

The radius of a can is (3x^2-10). The height of the can is 2x. What is the surface area of a label that would be glued around the can?

Answer 1

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:

`\text{CSA}=2\pi rh`

So, the curved surface area of the given cylinder is:

`\begin{gathered} \text{CSA}=2\pi(3x^2-10)(2x) \\ =2\pi(6x^3-20x) \\ =\pi(12x^3-40x) \end{gathered}`

Thus, the answer is given above.