Question

A label covers the lateral surface area of a can. The can has a diameter of 2.6 inches and a height of 4 inches. What is the lateral surface area of the label?

Answer 1

32.68

Explanation:

Now we need the circumference of the circle, with the formula 2 pi r

2 times pi is about 6.28 that times the radius, (1.3) Which is 8.17.

So the circumference of the circle is 8.17, and the height is 4.

Multiply those together to get the surface area around the can. Not including the top and bottom.

8.17 * 4 = 32.68

The surface area of the label of the can is 32.68

Answer 2

First of all, lateral means the sides of the can in this case.

Calculate the surface area of the can, subtract the area of the top and bottom which are two circles, and theres the answer!

Explanation:

1. SA= 2πrh+2πr^2

= 2(π)(1.3)(4) + 2(π)(1.3^2)

= 43.29- (π1.3^2)^2

=15.09

Please note that ^(a number) means to the power of (that number). Hope this helps!