A can of soup is in the shape of a cylinder with a radius of 3.2 centimeters and a height of 10.2 centimeters. The label covers the entire lateral surface of the can. What is the approximate area of the label?
a.) 32.64 cm^2
b.) 64.34 cm^2
c.) 205.08 cm^2
d.) 269.42 cm^2
AL=2πrh
A = 2 * 3.14 * 3.2 * 10.2
1. C
2. B
3. A
4. C
5. D
The approximate area of the label is found by calculating the lateral surface area of the cylinder.
AL = 2πrh
AL = 2 * 3.14 * 3.2 * 10.2
AL ≈ 205.08 cm^2
Therefore, the approximate area of the label is approximately 205.08 cm^2.
The correct answer is c.) 205.08 cm^2.
To find the approximate area of the label, we need to calculate the lateral surface area of the cylinder.
The formula to calculate the lateral surface area of a cylinder is:
Lateral Surface Area = 2πrh
In this case, the radius (r) of the cylinder is given as 3.2 centimeters and the height (h) is given as 10.2 centimeters.
Therefore, the lateral surface area of the cylinder is:
Lateral Surface Area = 2π(3.2)(10.2)
To get the approximate value, we can use the approximation π ≈ 3.14.
Lateral Surface Area ≈ 2(3.14)(3.2)(10.2)
≈ 2(3.14)(32.64)
≈ 205.08 cm^2
Therefore, the approximate area of the label is approximately 205.08 cm^2.
So, the correct option is:
c.) 205.08 cm^2