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

Answer 1

volume of a cone is what?

1/3 pi r^2 * h right?

Answer 2

with all things being equal but radius; that least us with

R^2/r^2

Answer 3

but similar would suggest that height aint equal; but ratioed as well. and since its linear we can prolly inerpolate it as well

Answer 4

32/24 = H/h

4/3 = H/h

H = 4h/3

1/3 pi R^2 H 32^2 4h/3
------------ = ----------
1/3 pi r^2 h 24^2 h

32 32 4 h
---------
24 24 3 h

8 8 4
----- = 64(4)/27
3 3 3

maybe

Answer 5

444/333 = 64/27 :)

Answer 6

i reduced my 32s badly lol

Answer 7

Lol it's okay, thank you very much :)

Answer 8

yw :P