SOLUTION: an 18-oz jar of peanut butter in the shape of a right circular cylinder is 5in high and 3in. in diameter and sells for $2.89. In the same store, a 22-oz jar of the same brand is 5

Question 1073925: an 18-oz jar of peanut butter in the shape of a right circular cylinder is 5in high and 3in. in diameter and sells for $2.89. In the same store, a 22-oz jar of the same brand is 5 1/4 in. high and 3 1/4 in. in diameter. If the cost is directly proportional to volume, what should the price of the larger jar be?
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
Calculating volumes is not necessary. The same peanut butter would have the same density, no matter the net contents in a jar. The "weight" or masses are given and those alone should be enough information.

If as given the price is based only on volume ( or on mass ), then

The 22 ounce jar is $3.53.
WRONG ASSUMPTION!

IF the price IS based on volumes then the assumption just used above does not work.
volume for cylinder, for height h and radius r.
-
The 18-oz jar is or about 11.25pi cubic.inch.
The 22-oz jar is or about 13.863pi cubic. inch.

Price of the 22-oz jar

$3.56 dollars
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