Question

Find the Surface Area of the cylinder in terms of Pi. (1 point) Responses 784π 784 pi 294π 294 pi 686π 686 pi 714π

Radius is 7 ft. height is 14 ft.

Answer 1

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

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

where \( r \) is the radius and \( h \) is the height of the cylinder.

Given:
- Radius \( r = 7 \) ft
- Height \( h = 14 \) ft

Plugging in the values:

\[
\text{Surface Area} = 2\pi (7)(14 + 7)
\]

Calculating inside the parentheses first:

\[
14 + 7 = 21
\]

Now substituting back into the equation:

\[
\text{Surface Area} = 2\pi (7)(21)
\]

Now calculating \( 7 \times 21 \):

\[
7 \times 21 = 147
\]

Now we can calculate the surface area:

\[
\text{Surface Area} = 2\pi (147) = 294\pi
\]

Thus, the surface area of the cylinder is

\[
\boxed{294\pi}
\]