Answer:
[tex]2261.9cm^{2}[/tex]
Step-by-step explanation:
Total Surface Area of Cylinder = [tex]2\pi rh+2\pi r^{2}[/tex]
Note: Do not get tricked by the 24cm (taking 24cm as the radius), that is the diameter.
To find r, radius = [tex]\frac{1}{2} d[/tex]
=[tex]\frac{1}{2} (24)\\[/tex]
= 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 = [tex]2\pi (12)(18)+2\pi (12)^{2} \\=432\pi +288\pi \\=720\pi cm^{2} \\=2261.9cm^{2}[/tex]
