Use the image to answer the question.

A cylinder is labeled with a height of 13 and radius of 5.

Find the surface area of the cylinder. Use the approximation of 3.14 for pi.

(1 point)
Responses

565.2
565.2

204.1
204.1

1469.52
1469.52

408.2
408.2
Remaining Attempts : 3
Skip to navigation

1 answer

To find the surface area of a cylinder, you can use the formula:

\[ \text{Surface Area} = 2\pi r(h + r) \]

where:

  • \( r \) is the radius,
  • \( h \) is the height, and
  • \( \pi \) is approximately 3.14.

Given:

  • Radius \( r = 5 \)
  • Height \( h = 13 \)

Now plug in the values:

\[ \text{Surface Area} = 2 \times 3.14 \times 5 \times (13 + 5) \] \[ = 2 \times 3.14 \times 5 \times 18 \] \[ = 2 \times 3.14 \times 90 \] \[ = 2 \times 282.6 \] \[ = 565.2 \]

Thus, the surface area of the cylinder is 565.2.