Answer: 471.24 square cm.
Step-by-step explanation: First find the area of one circular base by using the formula
. The radius is 5, so first square that. 5^2=25. Now multiply by pi, using 3.14 for pi. 25*3.14=78.5.
Since there are 2 circular bases, multiply the area of one base by 2. 78.5*2=157.
Now to find the surface area of the rest of it, first find the circumference of one circular base by using the formula
. The diameter is the radius multiplied by 2. 5*2=10. Now multiply by pi. 10*3.14=31.4. Now multiply this by the height of the cylinder. 31.4*10=314.
Finally add up the areas of the two circular bases and the area of the rest of the cylinder. 314+157=471.
Assuming that an expanded form of pi was used by using the π button on a calculator, this answer is closest to 471.24.