find the surface area of the cylinder. Use the approximation of 3.14 for pi. The radius is 5 and the height is 13

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 \( h = 13 \)

Substituting the values into the formula:

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

Calculate \( 13 + 5 \):

\[ 13 + 5 = 18 \]

Now substitute back into the formula:

\[ \text{Surface Area} = 2 \times 3.14 \times 5 \times 18 \]

First, calculate \( 2 \times 3.14 \):

\[ 2 \times 3.14 = 6.28 \]

Now calculate \( 6.28 \times 5 \):

\[ 6.28 \times 5 = 31.4 \]

Next, multiply by \( 18 \):

\[ 31.4 \times 18 = 565.2 \]

Therefore, the surface area of the cylinder is:

\[ \text{Surface Area} \approx 565.2 \text{ square units} \]