Find the surface area of the cylinder. Round to the nearest hundredth.

Mathematics

1 answer:

Hitman42 [59]3 years ago

5 0

Answer:

The surface area of the cylinder is 276.32m²

Step-by-step explanation:

To solve this problem we have to calculate the circle area and the lateral area

To calculate the area of the circle we use the following formula

a = area

r = radius = 2m

π = 3.14

a = π * r²

we replace with the known values

a = 3.14 * (2m)²

a = 3.14 * 4m²

a = 12.56m²

The area of the circle is 12.56m²

To calculate the lateral area of the cylinder we use the following formula

a = area =

h = heighti = 20m

r = radius = 2m

π = 3.14

a = 2 * π * r * h

we replace with the known values

a = 2 * 3.14 * 2m * 20m

a = 6.28 * 40m²

a = 251.2m²

The lateral area of the cylinder is 251.2m²

Now we add the lateral area of the cylinder with 2 times the area of the circle and obtain the area of the cylinder

251.2m² + (2 * 12.56m²) = 276.32m²

The surface area of the cylinder is 276.32m²

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