Part A

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.

The lateral surface area of a cylinder can be found using the formula:

Lateral surface area = 2πrh

where r is the radius and h is the height of the cylinder.

Given:
Radius (r) = 2.5 meters
Height (h) = 7 meters

Using this information, we can substitute the values into the formula:

Lateral surface area = 2 * 3.14 * 2.5 * 7

Simplifying the equation:

Lateral surface area = 43.96 square meters

Rounded to the nearest tenth, the lateral surface area of the cylinder is approximately 44.0 square meters.

wrong'

I apologize for the mistake. Let me correct the calculation:

Lateral surface area = 2πrh

Lateral surface area = 2 * 3.14 * 2.5 * 7

Lateral surface area = 2 * 3.14 * 17.5

Lateral surface area = 110.0 square meters

Rounded to the nearest tenth, the lateral surface area of the cylinder is approximately 110.0 square meters.

wrong

I apologize for the error in my previous response. Let's calculate the lateral surface area correctly this time.

The formula for the lateral surface area of a cylinder is given by:

Lateral surface area = 2πrh

Given:
Radius (r) = 2.5 meters
Height (h) = 7 meters

Substituting these values into the formula:

Lateral surface area = 2 * 3.14 * 2.5 * 7

Lateral surface area = 2 * 3.14 * 17.5

Lateral surface area = 110.0 square meters

Rounded to the nearest tenth, the lateral surface area of the cylinder is 110.0 square meters.