I Really Need Help With This Question!!

What is the area of the label on the side of a soup can if the radius of the can is 2 inches, the height is 4 inches, & the label completely covers the sides?

Answers:
a.) 16 & pie symbol square inches
b.) 16 square inches
c.) 4 7 pie symbol square inches
d.) 8 square inches

-4(5v-3)-v

the curved area of a cylinder is just the circumference times the height

a = 2pi*r*h
= 2pi*2*4
= 16pi

To find the area of the label on the side of a soup can, we first need to calculate the area of the curved surface of the can. The curved surface area of a cylinder is given by the formula:

Curved Surface Area = 2 * π * radius * height

In this case, the radius of the can is given as 2 inches, and the height is given as 4 inches. Plugging these values into the formula, we get:

Curved Surface Area = 2 * 3.14 * 2 * 4
= 50.24 square inches

Since the label completely covers the curved surface of the can, the area of the label is equal to the curved surface area of the can. Therefore, the area of the label on the side of the soup can is 50.24 square inches.

However, none of the given answer choices matches this result exactly. It looks like the values are approximations, so we need to find the closest option.

Let's look at the answer choices:
a) 16 & π square inches
b) 16 square inches
c) 4 7π square inches
d) 8 square inches

Comparing these options with the calculated curved surface area (50.24 square inches), we can see that none of the choices is close to the actual value. It seems that there may be an error in the question or the answer choices provided.