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?

27:8

9:6

9:4

3:2

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 33 feet and the child ride has a radius of 22 feet, what is the ratio between the volumes of each ride?

 27:8

 9:6

 9:4

 3:2

anonymous · Answer

i got a ?

anonymous · Answer

The volume formula for cone is 1/3 pi.r^2h, so

anonymous · Answer

Assuming the height as same for both cornea 1/3 .pi (33)^2h/1/3 .pi (22)^2 h

anonymous · Answer

Everything gets cancelled (33)^2/(22)^2 is left which when divided gives 9/4

goformit100 · Answer

@softballlover6655  you are correct ... nice calculations

anonymous · Answer

ah thanks (: