Question

A building is in the shape of a right prism with a regular hexagon base and a dome in the shape of a hemisphere covering part of the prism.

To calculate the entire surface area of the building, which includes the bottom of the building, it will require finding the area of
rectangles,
hexagons, and
sphere, minus the area of a
.

Answer 1

circle — subtract the area πr^2 of the circular opening in the hexagonal top where the hemisphere sits (the hemisphere contributes the curved area 2πr^2, i.e. half the sphere).