Question

Find the surface area of a cylinder with a base diameter length of 8 in. and a height of 10 in. Use π=3.14 .(1 point) Responses 326.25 in2 326.25 in squared 405.26 in2 405.26 in squared 351.68 in2 351.68 in squared 375.62 in2

Answer 1

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

\[
\text{Surface Area} = 2\pi r^2 + 2\pi rh
\]

Where:
- \( r \) is the radius of the base of the cylinder,
- \( h \) is the height of the cylinder.

Given:
- The diameter of the base is 8 inches, so the radius \( r \) is half of that:

\[
r = \frac{8}{2} = 4 \text{ inches}
\]

- The height \( h \) is given as 10 inches.

Now we can substitute these values into the surface area formula.

1. Calculate the area of the two bases:

\[
2\pi r^2 = 2 \times 3.14 \times (4^2) = 2 \times 3.14 \times 16 = 100.48 \text{ in}^2
\]

2. Calculate the area of the side:

\[
2\pi rh = 2 \times 3.14 \times 4 \times 10 = 2 \times 3.14 \times 40 = 251.2 \text{ in}^2
\]

3. Add both areas to find the total surface area:

\[
\text{Surface Area} = 100.48 \text{ in}^2 + 251.2 \text{ in}^2 = 351.68 \text{ in}^2
\]

So the surface area of the cylinder is **351.68 in²**.

Among the choices provided, the correct answer is:

**351.68 in²** or **351.68 in squared**.