anonymous
  • anonymous
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
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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dan815
  • dan815
how many pints is a gallon
anonymous
  • anonymous
I don't know, I'll have to google it.
dan815
  • dan815
okay do that

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More answers

dan815
  • dan815
now the volumes of these 2 objects vary as a function of the cubes of their radii
anonymous
  • anonymous
8
dan815
  • dan815
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
anonymous
  • anonymous
Oh, I just feel so stressed and it makes difficult for me to comprehend.
dan815
  • dan815
okay dont worry we will take this slow
anonymous
  • anonymous
So, what's the very first step in this problem?
dan815
  • dan815
How do I solve this problem? The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii.
dan815
  • dan815
The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii.
dan815
  • dan815
read this sentence
anonymous
  • anonymous
It says you've been typing for a while. Is that an error?
dan815
  • dan815
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
anonymous
  • anonymous
Is there a significance to your typing of the _ symbol?
dan815
  • dan815
no =.= its just a label for the variable
dan815
  • dan815
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
dan815
  • dan815
now what we want to know is how many times bigger volume B is than volume A
dan815
  • dan815
then we will know how many of Vol_A will fit in volume_B
dan815
  • dan815
|dw:1444022480876:dw|
anonymous
  • anonymous
I don't know.
dan815
  • dan815
maybe this picture will help
dan815
  • dan815
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
dan815
  • dan815
and each A is 1.5 pints
anonymous
  • anonymous
Ok.
anonymous
  • anonymous
Do we have any numbers concerning B?
dan815
  • dan815
yes
dan815
  • dan815
suppose i give u 2 numbers 20 and 3 how many times is 20 bigger than 3, what will ud o
dan815
  • dan815
do
anonymous
  • anonymous
divided 20 w/ 3
dan815
  • dan815
right
anonymous
  • anonymous
6.666666666666666666666666666666666666666666666666666666666666666666
dan815
  • dan815
in the same way u have VolB= k*R^3 volA=k*r^3 how many A fit in B?
anonymous
  • anonymous
|dw:1444022694437:dw|
dan815
  • dan815
|dw:1444022725772:dw|
anonymous
  • anonymous
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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