Question

sergio has two similar cylindrical pots, pot A and pot B. The radius of pot A is 12 inches, and the radius of pot B is 3 inches. what is the ratio of the volume of pot A to the volume of pot B?

Answer 1

@iGreen

Answer 2

volume is a cubic measure

Answer 3

does this have something to do with change of demension formula?

Answer 4

you have to cube the linear ratios

Answer 5

dude your speaking german to me lol im so lost

Answer 6

let r = smaller pot's radius and R = the bigger pot's radius

then r*a = R where a is the scaling factor from small to big.

then the volume of the pots involves the radius to the 3rd power:

(r*a)^3 = R^3

and the scaling factor gets cubed (raised to the 3rd power)

Answer 7

so plug the numbers into that and i get my answer?

Answer 8

the ratio is 4:1

raise each nuber to the 3rd power... what do you get?

Answer 9

12^3= 1728 and 3^3=27

Answer 10

you could do it that way but you still have to reduce... it's much easier to reduce the ratio first and then raise to the 3rd power.

Answer 11

12:3 = 4:1

Answer 12

64 and 1

Answer 13

you got it!