find the surface area of a cylinder with a diameter of 12 in and a height of 10 in use the approximation of 3.14 for pi

Answer 1

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

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

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

1. Find the radius: The diameter is given as 12 inches, so the radius \( r \) is half of that:

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

2. Height: The height \( h \) is given as 10 inches.

3. Plug values into the formula: Using \( \pi \approx 3.14 \):

\[ \text{Surface Area} = 2 \times 3.14 \times 6 \times (10 + 6) \]

4. Calculate \( h + r \):

\[ h + r = 10 + 6 = 16 \]

5. Now substitute back into the equation:

\[ \text{Surface Area} = 2 \times 3.14 \times 6 \times 16 \]

6. Calculate each part step-by-step:

• Calculate \( 2 \times 3.14 \):

\[ 2 \times 3.14 = 6.28 \]

• Calculate \( 6 \times 16 \):

\[ 6 \times 16 = 96 \]

• Now calculate:

\[ \text{Surface Area} = 6.28 \times 96 \]

7. Final calculation:

\[ 6.28 \times 96 = 602.88 \]

Thus, the surface area of the cylinder is approximately 602.88 square inches.