Question

Hello, last question about this assignment. please answer asap if you can and show work. thanks

Answer 1

Answer:

52 in^2

Step-by-step explanation:

If the diameter = 3 in, then the radius = 1.5 in.

To find the surface area, you need to find the area of the two circle areas (the base and the top of the cylinder) and the "sides" of the cylinder. If you look at the net shape of a cylinder, look at the picture below. That middle region aka the "side" of the cylinder is actually a rectangle. The length of the rectangle is also the circumference of the circle and the width is also the height of the can.

So:

2 * Area of the circle + rectangle = total surface area of the can

= 2(πr^2) + 2πrh

= 2π(1.5^2) + 2π(1.5)(4)

= 2π(2.25) + 12π

= 4.5π + 12π

= 16.5π

≈ 51.8

≈ 52 in^2