Question

Hero i sorry but pls help lol :P
A water ride at a local water park has a ride shaped like a cone that acts like a funnel whereby guests swirl around the cone until they drop through its center. There is one ride for adults and a similar, smaller version for children. If the adult ride has a radius of 33 feet and the child ride has a radius of 22 feet, what is the ratio between the volumes of each ride?
Answer
27:8
9:6
9:4
3:2

Answer 1

It's too late now...what is done is done.

Answer 2

aaww :(

Answer 3

So basically, we are dealing with similar solids

Answer 4

yes sir

Answer 5

So simply apply the rule of ratio of similar solids:

If two solids are similar, then:
1. they have lengths of ratio a:b
2. they have areas of ratio a^2: b^2
3. they have volumes of ratio a^3: b^3

Answer 6

Ratio of area\[\frac{A_{big}}{A_{small}} = \frac{\pi r^2}{\pi r^2} = \frac{\pi{33}^2}{\pi{22}^2} = \frac{9}{4}\]

Ratio of length :
\[\sqrt{\frac{9}{4}} = \frac{3}{2}\]

Ratio of volume (which is what we're looking for):

\[\frac{3^3}{2^3} = \frac{27}{8} \]