What is the surface area of the cylinder in terms of pi? The diagram is not drawn to scale.

cylinder
(1 point)
Responses

210pi in.2
210 Image with alt text: pi in. 2

308pi in.2
308 Image with alt text: pi in. 2

224pi in.2
224 Image with alt text: pi in. 2

98pi in.2

The surface area of a cylinder is calculated using the formula 2πrh + 2πr^2, where h is the height of the cylinder and r is the radius of the base.

From the diagram, it looks like the radius of the cylinder is 7 inches and the height is 10 inches.

Using the formula, we get:
2π * 7 * 10 + 2π * 7^2
= 140π + 98π
= 238π

Therefore, the surface area of the cylinder is 238π in^2.

The closest option is 224π in^2, so the correct answer is 224π in^2.