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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?

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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.

User MattW
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