Question 766512
The radius for the cylinder is the shorter side of the 6 by 10 rectangle.  The length of the cylinder is the longest side of the rectangle.  To find the total area requires the circumference and the length.  


Area of the circular shell:  circumference multiplied by length, {{{(2*pi*6)*10}}}


If include the circle top and bottom, the {{{2*(pi*6^2)}}} for these alone.