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?

Answer 1

A) 27:8
B) 9:6
C) 9:4
D) 3:2

Answer 2

hi taz

Answer 3

isis go do your home work other wise im taking your tv from the livning room

Answer 4

your answer is a

Answer 5

i dont believe you

Answer 6

how is it a?

Answer 7

thank you^

Answer 8

Volume of a cone \[\Large V = \frac{ 1 }{ 3 } \pi r^ 2 h\]If the radii are in proportion 33:22, then the heights (h) must also be in that same proportion (since they're similar cones)

Answer 9

33:22 is the same as 3:2 (divide them both by 11). Which means the heights must be in ratio 3:2, so you can use 3h as the height of the 33ft cone, and 2h as the height of the 22 ft cone.
So plug them in. r=33 and 3h
\[\Large V = \frac{ 1 }{ 3 } \pi \times 33^ 2 \times (3 h)\]
r=22 and 2h
\[\Large V = \frac{ 1 }{ 3 } \pi \times 22^ 2 \times (2 h)\]

Solve simplify those, then divide the first by the second.

Answer 10

That should say "simplify those, then divide the first by the second"

Answer 11

2.25*1.5h

Answer 12

I don't know what that is.. show your work in steps

first simplify this one \[\Large V = \frac{ 1 }{ 3 } \pi \times 33^ 2 \times (3 h)\]

Answer 13

i think the answer is 9:4

Answer 14

Do the steps i showed above... it doesnt look like 9:4

find this \[\huge \frac{ \frac{ 1 }{ 3 } \pi \times 33^ 2 \times (3 h)}{\frac{ 1 }{ 3 } \pi \times 22^ 2 \times (2 h) }\] notice you can cancel off a lot of common factors.

Answer 15

yes

Answer 16

Yes what...?

Answer 17

sorry didnt read it all the way threw .. 2.25/1.5h

Answer 18

That's not it...

Answer 19

There should be no h, they should both cancel off. But 2.25/1.5 isn't right.

Answer 20

@Taz_kapadia did you manage to finish?