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Question

A cylinder is labeled with a height of 8 yards and a radius of 7 yards.



Find the surface area of the cylinder. Use the approximation 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 cylinder,
• \( h \) is the height of the cylinder.

Given:

• Height \( h = 8 \) yards
• Radius \( r = 7 \) yards
• Using \( \pi \approx 3.14 \)

Now, we can calculate each part of the surface area:

1. Calculate the area of the two circular bases: \[ 2\pi r^2 = 2 \times 3.14 \times (7^2) = 2 \times 3.14 \times 49 = 2 \times 153.86 = 307.72 \text{ square yards} \]

2. Calculate the lateral surface area: \[ 2\pi rh = 2 \times 3.14 \times 7 \times 8 = 2 \times 3.14 \times 56 = 2 \times 175.84 = 351.68 \text{ square yards} \]

3. Add both areas together: \[ \text{Surface Area} = 307.72 + 351.68 = 659.4 \text{ square yards} \]

Thus, the surface area of the cylinder is 659.4 square yards.