The given solid is a cylinder. To calculate the surface area of a cylinder, we can use the following formula.
S=2π rh+2π r^2
In this formula, r is the radius of the base and h is the height of the cylinder. From the figure, we know that the diameter of the base is 6in. To use the formula, we first need to divide the diameter by 2 to determine the radius.
r=6/2 ⇔ r= 3
Now, we can substitute 3 for r and 7 for h into the formula and solve for S. Let's do it!
