Question

Find the lateral surface area of a cylinder with a radius of 2.5 meters and a height of 7 meters. Use 3.14 for pi and round your answer to the nearest tenth. (1 point) Use 3.14 for pi. (1 point)
Responses
149.15 m2
266.9 m2
129.52 m2
151.0 m2

Answer 1

To calculate the lateral surface area of a cylinder, you need to find the perimeter of the base (which is a circle) and multiply it by the height of the cylinder.

The formula for the perimeter of a circle is 2 * pi * radius.

In this case, the radius is 2.5 meters, so the perimeter of the base is 2 * 3.14 * 2.5 = 15.7 meters.

Then, you multiply the perimeter by the height of the cylinder, which is 7 meters.

Lateral surface area = perimeter of base * height = 15.7 * 7 = 109.9 square meters.

Rounding to the nearest tenth gives you 109.9, which is closest to 109.9.

So, the correct answer is 109.9 m2.