35 of 4935 of 49 Items Question What is the surface area of the cylinder in terms of ? The diagram is not drawn to scale. (1 point) Responses 210 in.2 210 Image with alt text: pi in. 2 308 in.2 308 Image with alt text: pi in. 2 224 in.2 224 Image with alt text: pi in. 2 98 in.2

1 answer

To find the surface area of the cylinder, we need to calculate the lateral surface area and the area of the two bases.

Lateral Surface Area = 2πrh
Base Area = 2πr^2

Given that the cylinder has a height of 7 units and a radius of 5 units, we can calculate:

Lateral Surface Area = 2π(5)(7) = 70π in^2
Base Area = 2π(5)^2 = 50π in^2

Total Surface Area = Lateral Surface Area + 2(Base Area)
Total Surface Area = 70π + 2(50π)
Total Surface Area = 70π + 100π
Total Surface Area = 170π in^2

Therefore, the surface area of the cylinder in terms of π is 170π in^2. Option B is the correct answer.