Find the surface area of a cylinder that has a height of 15 meters and a diameter of 20 meters. Use 3.14 for π .

Answer 1

First, we need to find the radius of the cylinder, which is half the diameter.

Radius = 20 meters / 2 = 10 meters

Now, we can find the lateral surface area of the cylinder using the formula:

Lateral Surface Area = 2πrh
= 2 * 3.14 * 10 * 15
= 942 square meters

Next, we find the surface area of the two circular bases of the cylinder:

Base Area = πr^2
= 3.14 * 10^2
= 3.14 * 100
= 314 square meters

Now, we can add the lateral surface area and the base area to find the total surface area of the cylinder:

Total Surface Area = Lateral Surface Area + 2(Base Area)
= 942 + 2(314)
= 942 + 628
= 1570 square meters

Therefore, the surface area of the cylinder is 1570 square meters.