Let denote the base area, the lateral surface area and H the height of the solid.

Then the volume is calculated by:

to #a.: a_B is a rectangle (84) and the height is 19. Thus

to #b.: Let s denote the side of the hexagon. Then

Now use the general formula to calculate the volume.

to #c.: All areas are half rectangles. So I'm sure that you can do the calculations.

to #d.: is a circle with . Use the general formula to calculate the volume ( )

To calculate the surface area or the lateral surface area is a little bit more tricky. If the solid is a right solid and the base area is a regular polygon or a circle then the lateral surface consists of congruent triangles or a sector of a circle. In this case the lateral surface is calculated by:

. This formula can be used at #b. and #d.. In both cases you must calculate the height h of the triangle first.

to #a.: The lateral surface area consists of 4 right triangles.

The complete surface area consists of

to #d. Let s denote the line segment from the tip of the cone to the edge of the base area then

. The complete surface area is:

to #c.: All areas are right triangles (that means half rectangles) and I'm sure that you can do the calculations. Post your results so we can check.