Question

Find the surface area of the cylinder. Use 3.14 for pi.

Answer 1

527.52 ft²

Explanation:

The surface area of a cylinder is:

`\displaystyle{2\pi r^2 + 2\pi r h}`

where r is radius and h is height.

From the attachment, we know that the radius (r) is 7 ft and the height is 5 ft. Therefore:

`\displaystyle{\text{Surface Area} = 2 \cdot 3.14 \cdot (7)^2 + 2\cdot 3.14 \cdot 7 \cdot 5}\\\\\displaystyle{\text{Surface Area} = 6.28 \cdot 49 + 6.28 \cdot 35}\\\\\displaystyle{\text{Surface Area} = 307.72 + 219.80}\\\\\displaystyle{\text{Surface Area} = 527.52 \ \: \text{ft}^2}`

Therefore, the surface area of the cylinder is 527.52 ft²