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

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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step-by-step explanation:

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.