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 32 feet and the child ride has a radius of 24 feet, what is the ratio between the volumes of each ride.

Question

jlastino · Answer

Just get the volumes of the two cones then put them in a fraction wherein
V of 32 ft. cone/V of 24ft. cone

Do you know how to get the volume of a cone?

anonymous · Answer

yeah but i dont have the height to solve for the volume

jlastino · Answer

Is there a picture for the ride?

anonymous · Answer

no

jlastino · Answer

oh, they are similar solids right? So their areas are also similar :D
you can find the area of the 32ft cone then the area of the 24ft

A of 32/Aof 24

jlastino · Answer

I meant their areas have a ratio of : a^2/b^2
So you take the square of the fraction you get for the answer

jlastino · Answer

*square root

anonymous · Answer

thanks!