Surface Area of Cylinders Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 of 5 Items
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 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,
• \( \pi \) is approximately 3.14.

Given:

• Diameter = 12 inches, so the radius \( r = \frac{12}{2} = 6 \) inches.
• Height \( h = 10 \) inches.

Now, plugging in the values:

1. Calculate the area of the top and bottom circles (2πr²): \[ 2\pi r^2 = 2 \times 3.14 \times (6)^2 = 2 \times 3.14 \times 36 = 226.08 \text{ square inches} \]

2. Calculate the lateral surface area (2πrh): \[ 2\pi rh = 2 \times 3.14 \times 6 \times 10 = 2 \times 3.14 \times 60 = 376.8 \text{ square inches} \]

3. Add both areas together to find the total surface area: \[ \text{Total Surface Area} = 226.08 + 376.8 = 602.88 \text{ square inches} \]

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