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?

4:3

16:9

64:27

12:9

Question

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? 

 4:3 

 16:9 

 64:27 

 12:9

ganpat · Answer

$$1/3 \pi r ^{2} h$$  - is volume of cone.. 

Now assuming height remains same for both of them

therefore ratio turns to be..  v1/ v2 = (r1)2/ (r2)2 = 16/ 9

is the answer...