Question

Find the surface area of a cylinder with a diameter of 12 inches and height of 10 inches. Use the approximation of 3.14 for pi. (1 point)

Answer 1

To find the surface area \( A \) of a cylinder, we can use the formula:

\[
A = 2\pi r(h + r)
\]

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

1. **Calculate the radius**:
The diameter of the cylinder is 12 inches, so the radius \( r \) is half of that:

\[
r = \frac{12}{2} = 6 \text{ inches}
\]

2. **Identify the height**:
The height \( h \) of the cylinder is given as 10 inches.

3. **Substitute the values into the surface area formula**:
Using \( \pi \approx 3.14 \):

\[
A = 2 \times 3.14 \times 6 \times (10 + 6)
\]
\[
A = 2 \times 3.14 \times 6 \times 16
\]

4. **Calculate \( 2 \times 3.14 \times 6 \)**:
\[
2 \times 3.14 = 6.28
\]
\[
6.28 \times 6 = 37.68
\]

5. **Now multiply by \( 16 \)**:
\[
A = 37.68 \times 16
\]

To calculate this step:
\[
37.68 \times 16 = 602.88
\]

Thus, the surface area of the cylinder is approximately

\[
\boxed{602.88} \text{ square inches}.
\]