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?

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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?

Mathematics
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how many pints is a gallon
I don't know, I'll have to google it.
okay do that

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Other answers:

now the volumes of these 2 objects vary as a function of the cubes of their radii
8
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
Oh, I just feel so stressed and it makes difficult for me to comprehend.
okay dont worry we will take this slow
So, what's the very first step in this problem?
How do I solve this problem? The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii.
The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii.
read this sentence
It says you've been typing for a while. Is that an error?
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
Is there a significance to your typing of the _ symbol?
no =.= its just a label for the variable
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
now what we want to know is how many times bigger volume B is than volume A
then we will know how many of Vol_A will fit in volume_B
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I don't know.
maybe this picture will help
if we know how many times bigger the volume of B is than A then we know how many of A will fit in B
and each A is 1.5 pints
Ok.
Do we have any numbers concerning B?
yes
suppose i give u 2 numbers 20 and 3 how many times is 20 bigger than 3, what will ud o
do
divided 20 w/ 3
right
6.666666666666666666666666666666666666666666666666666666666666666666
in the same way u have VolB= k*R^3 volA=k*r^3 how many A fit in B?
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You know, without knowing the numbers, it makes me unsure, but if I had to guess, I'd just divided the two K x r^3

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