Question

An architect uses a cylindrical container to protect her blueprint dimensions of the cylinder are shown in the diagram. Which measurement is closest to the total surface area of the container in square inches A. 424.12 in^2 B. 791.68 in^2C. 339.29 in^2D. 282.74 in^2

Answer 1

`C)339.29in^2`

Step-by-step explanation

We want to find the total surface area of the given cylinder.

To do this, apply the formula for total surface area of a cylinder.

That is:

`SA=2\pi r(r+h)`

where r = radius; h = height

Therefore, the total surface area of the given cylinder:

`\begin{gathered} SA=2\pi\cdot3(3+15) \\ SA=6\pi\cdot18 \\ SA=339.29in^2 \end{gathered}`