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 25 feet and the child ride has a radius of 10 feet, what is the ratio between the volumes of each ride?

Question

mertsj · Answer

Oh no.  Not this question again.  What was wrong with the previous answer provided?

mertsj · Answer

Are we to assume that the heights are the same?

anonymous · Answer

The last question like this had different numbers.

anonymous · Answer

I really have no idea....I just know you are supposed to put them in ratios

anonymous · Answer

25:4

 15:6

 125:8

 5:2
these are the answer choices

mertsj · Answer

Since we are given no information to the contrary, let us assume that the height is constant.

mertsj · Answer

$$\frac{V _{1}}{V _{2}}=\frac{\frac{1}{3}\pi (25)^2h}{\frac{1}{3} \pi (10^2)h}=\frac{625}{100}=\frac{25}{4}$$

anonymous · Answer

Okay, I thought that was the answer but I wasn't sure. Thanks :)

mertsj · Answer

yw