In the figure, A, B, C, D, E, F and P, Q, R, S, T, U are 6 points dividing the each circumference of the bottom of the cylinder into six equally respectively.
Each of AP, BQ, CR, DS, ET and FU is vertical to the bottom.
The area of triangle ACE is 3 cm2 and the height of the pillar is 5 cm. Find the volume of the solid which have two triangles ACE and QSU as the bottoms and have six triangles AQU, CSQ, EUS, ACQ, CES, and EAU as side faces.