Answer:
1733.28 square inches
Step-by-step explanation:
Hi there!
What we know:
- The diameter of the base (12 in.)
- The height of the cylinder (40 in.)
- The formula for the surface area of a cylinder: [tex]SA=2\pi r^2+2\pi rh[/tex]
1) Determine the radius of the base (r)
The radius is equal to half the diameter. Given the diameter 12 in., we know that the radius would be 6 in.
Radius = 6
2) Plug all values into the SA equation and solve
[tex]SA=2\pi r^2+2\pi rh\\SA=2\pi (6)^2+2\pi (6)(40)\\SA=2\pi (36)+2\pi (240)\\SA=72\pi+480\pi\\SA=552\pi\\SA=552(3.14)\\SA=552(3.14)\\SA=1733.28[/tex]
Therefore, the surface area of the cylinder is 1733.28 square inches.
I hope this helps!
