Question

How do I solve this problem?

The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii. If a can with a six-inch radius holds 1½ pints, how many gallons will a similar can with a 24-inch radius hold?

Answer 1

how many pints is a gallon

Answer 2

I don't know, I'll have to google it.

Answer 3

okay do that

Answer 4

now the volumes of these 2 objects vary as a function of the cubes of their radii

Answer 5

8

Answer 6

lets suppose
Volume of Can A = k*r^3
volume of can B = k*R^3
where R= 24 and r=6
we want to see how many of Can A fit in can B so we know hoiw many pints or gallons go in there

Answer 7

Oh, I just feel so stressed and it makes difficult for me to comprehend.

Answer 8

okay dont worry we will take this slow

Answer 9

So, what's the very first step in this problem?

Answer 10

How do I solve this problem? The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii.

Answer 11

The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii.

Answer 12

read this sentence

Answer 13

It says you've been typing for a while. Is that an error?

Answer 14

let Vol_A be the volume of can with radius r = 6 inches

Vol_A=k*r^3

Vol_A is varying with respect to r^3 so some constant k times r^3

Answer 15

Is there a significance to your typing of the _ symbol?

Answer 16

no =.= its just a label for the variable

Answer 17

let Vol_B be the volume of can with radius R=24 inches
Vol_B=k*R^3
Vol_B is varying with respect to R^3 so some constant k(notice same constant) times R^3

Answer 18

now what we want to know is how many times bigger volume B is than volume A

Answer 19

then we will know how many of Vol_A will fit in volume_B