Question

The highest listed answer is 1056in^2

Answer 1

Answer:

total area = 1056 π inch²

Step-by-step explanation:

Suppose you could cut away the top and bottom of the drum with a big tin opener

Their surfaces is easy to calculate:

2 * ( π * 12² ) = 288π inch²

Now you need to find the area of the big toilet role like drum.

Suppose you could cut the whole 32 inch height of the drum, with a huge scissors. Because it is cut, you can flatten it out, and lay it out on the surface.

You now have a rectangle of height 32 inch. Because it used to be round on the top and bottom, the width is known as the circumference of that circle with radius 12 inch or 2*π*12 = 24 π

area rectangle

height 32 inch

width 24 π inch

area = 32 * 24 π inch²

area = 768 π inch²

now add the area of the top and bottom :

total area (288 π + 768 π )inch²

total area = 1056 π inch²

Answer 2

Answer: 3317.52 in²

Step-by-step explanation:

The formula for surface area of a cylinder is $A=2\pi rh+2\pi r^2$.

With our given radius and height values, all we have to do is plug them into the formula to find surface area.

$A=2\pi (12)(32)+2\pi (12)^2$

$A=768\pi +288\pi$

$A=1056\pi$

$A=3317.52 in^2$