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.
show work.
The formula for the lateral surface area of a cylinder is given by the formula:
Lateral Surface Area = 2πrh
In this case, the radius (r) is given as 2.5 meters and the height (h) is given as 7 meters. Plugging these values into the formula:
Lateral Surface Area = 2 * 3.14 * 2.5 * 7
Lateral Surface Area = 109.9 square meters (rounded to the nearest tenth)
Therefore, the lateral surface area of the cylinder is approximately 109.9 square meters.
show work/steps
To find the lateral surface area of a cylinder, you need to use the formula:
Lateral Surface Area = 2πrh
Given that the radius (r) is 2.5 meters and the height (h) is 7 meters, we can substitute those values into the formula.
First, we need to calculate 2πrh:
2 * 3.14 * 2.5 * 7
= 2 * 3.14 * 17.5
= 110.06
Since the question asks to round to the nearest tenth, the lateral surface area is approximately 110.1 square meters.
Therefore, the lateral surface area of the cylinder with a radius of 2.5 meters and a height of 7 meters is 110.1 square meters.