Asked by sandricka
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?
Answers
Answered by
Damon
24/6 = 4
4^3 = 64
64 * 1.5 = 96 pints
there are 8 pints per gallon so
96/8 = 12 gallons
4^3 = 64
64 * 1.5 = 96 pints
there are 8 pints per gallon so
96/8 = 12 gallons
Answered by
Heather
change pints to gallons.
1 1/2 pints = 3/16 gallon
3/16 x
_____ = ____ create proportion.
6^3 24^3
6^3 * x = 24^3 * 3/16
216 * x = 13824 * 3/16 simplify
216 * x = 2592 divide both sides by 216
x = 12 gallons
1 1/2 pints = 3/16 gallon
3/16 x
_____ = ____ create proportion.
6^3 24^3
6^3 * x = 24^3 * 3/16
216 * x = 13824 * 3/16 simplify
216 * x = 2592 divide both sides by 216
x = 12 gallons
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