Question

I need some help please

Answer 1

`2261.9cm^(2)`

Explanation:

Total Surface Area of Cylinder =
`2\pi rh+2\pi r^(2)`

Note: Do not get tricked by the 24cm (taking 24cm as the radius), that is the diameter.

To find r, radius =
`(1)/(2) d`

=
`(1)/(2) (24)\\`

= 12cm

Now we know r = 12cm, h = 18cm

Now we substitute r and h into the formula to find the total surface area.

Total Surface Area of Cylinder =
`2\pi (12)(18)+2\pi (12)^(2) \\=432\pi +288\pi \\=720\pi cm^(2) \\=2261.9cm^(2)`