The cross section perpendicular to the base is a rectangle. The cross section parallel to the base is a pentagon similar to the pentagonal base. The solid is a cylinder.
It should be 24 because <span>Pick 3 aces: 4C3 = 4 ways
Pick 2 kings: 4C2 = 6 ways
# of full-house hands: 4*6 = 24</span>
Try this solution (based on 3 steps: equation of the line; points in this line; equation of the plane).
The ball's velocity will be represented by the derivative of its distance function:

Now find the times

for which this is equal to 30, i.e. solve

This has two solutions,

, but only one is positive and falls in the interval
![[0,3]](https://tex.z-dn.net/?f=%5B0%2C3%5D)
. So the velocity reaches 30 cm/s when

.
Answer:
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