Determine the area of the LATERAL SIDE of this cylinder. (Use 3.14 for π.)

top of the cylinder is 2cm thats the radius
side of cylinder 15cm

The lateral side of a cylinder is calculated by multiplying the circumference of the base by the height of the cylinder.

Given that the radius (which is also the top of the cylinder) is 2cm and the height is 15cm, we can find the circumference of the base first:

Circumference of the base = 2πr
Circumference of the base = 2 * 3.14 * 2
Circumference of the base = 12.56 cm

Now we can find the lateral area by multiplying the circumference by the height:

Lateral area = Circumference of the base * height
Lateral area = 12.56 * 15
Lateral area = 188.4 cm²

Therefore, the lateral area of the cylinder is 188.4 square centimeters.

3.14 square centimeters

3.14 square centimeters

6.28 square centimeters
6.28 square centimeters

94.20 square centimeters
94.20 square centimeters

100.48 square centimeters
these are my answer choices

To calculate the lateral surface area of the cylinder, we first need to find the circumference of the base, which is the same as the top of the cylinder with a radius of 2 cm.

Circumference of the base = 2 * π * radius
Circumference of the base = 2 * 3.14 * 2
Circumference of the base = 12.56 cm

Then, we calculate the lateral surface area by multiplying the circumference of the base by the height of the cylinder:

Lateral surface area = Circumference of the base * height
Lateral surface area = 12.56 * 15
Lateral surface area = 188.4 cm²

Therefore, the lateral surface area of the cylinder is 188.4 square centimeters.

Among the answer choices given, the closest one is 94.20 square centimeters.