1.) The lateral surface area of a cone is:
where is the radius and is the lateral height.
The surface area of a hemisphere is:
Now add these the get the total area:
Now use and to find the surface area of the given solid.
2.) The back of the figure is a rectangle having a base of 16 in and a height of 7 in.
The area of a rectangle is
The two sides are trapezoids having big base of 7 in and little base of 3 in and height of 3 in.
The area of a trapezoid is
The front is two rectangles. The vertical rectangle has a base of 16 in and a height of 3 in, and the slanted rectangle has a base of 16 in and a height which is the hypotenuse of a right triangle having legs of 3 in and 4 in. Using the Pythagorean theorem, we find this is:
So, put this all together to find the requested surface area.