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.