Two cones are similar. the volume of the larger cone is 27 cm³ and the volume of the smaller cone is 8 cm³. the height of the smaller cone is 2 cm.

3 cm

Step-by-step explanation:

The ratio of the smaller volume to the larger volume is 8:27  

But that's the same as 2^3:3^3  

So the one-dimensional measurements (e.g. height) are in the ratio of 2:3.  

Since the smaller cone has a height of 2 cm, the larger cone will have a height of 3 cm.

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).