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?..

Answer 1

I'M assuming the height (h)is the same


volume = 1/3 pi r^2 h

so adults = 1/3 pi 32^2 h
1024/3 pi h

kids =1/3 pi 24^2 h
=576/3 pi h

RATIO kids to adults
576/3 pi h = 1024/3 pi h

cancel the h on both side

576/3 pi = 1024/3 pi

cancel pi on both sides
576/3 =1024/3

multiple by 3
576=1024
work the ratio down dividing by 2's and 3's ect
36:64
18:32
9:16