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?

Question

asked Dec 20, 2023 38.3k views

1 Answer

MattW · Answer 1 · 2023-12-24T03:10:57+0000

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.