Answer:
[tex]\boxed {\boxed {\sf SA= 753.6 \ in^2}}[/tex]
Step-by-step explanation:
The surface area of a cylinder is found using this formula.
[tex]SA=2 \pi rh+ 2 \pi r^2[/tex]
We know the diameter is 20 inches and the height is 2 inches. We must find the radius.
Now we know that:
[tex]r= 10 \ in \\h= 2 \ in[/tex]
Substitute the values into the formula. Also, plug 3.14 in for pi.
[tex]SA=2 (3.14)(10 \ in)(2 \ in)+ 2 (3.14)(10 \ in)^2[/tex]
Solve according to PEMDAS: parentheses, exponents, multiplication, division, addition, and subtraction.
Solve the exponent.
[tex]SA=2 (3.14)(10 \ in)(2 \ in)+ 2 (3.14)(100 \ in^2)[/tex]
Multiply all the numbers together.
[tex]SA=2 (3.14)(20 \ in^2)+ 2 (3.14)(100 \ in^2)[/tex]
[tex]SA=125.6 \ in^2+628 \ in^2[/tex]
Add.
[tex]SA= 753.6 \ in^2[/tex]
The surface of the cylinder is 753.6 square inches.
