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

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1

false

step-by-step explanation:

4y - 6 + 4y^2 - 9

before simplifying this contains 4 terms

after simplifying

4y -15 + 4y^2

it contains 3 terms