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Mrs. Read can knit one pair of children's mittens with a ball of yarn six inches in diameter. How many pairs of identical mittens can she knit with a ball of yarn twelve inches in diameter? Assume that the balls of yarn are rolled consistently.

 Feb 25, 2021
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VOLUME of 6 inch yarn =   4/3 pi r3  =     4/3 pi 33            ( notte tha r = 1/2 d = 3

                   12                                    = 4/3 pi 6^3

 

3^3 = 27

6^3 = 216       the 12 inch ball is   216/27 = EIGHT times bigger so you would expect she could knit 8 times the mittens

                                        One pair x 8 = 8 pair of mittens

 Feb 25, 2021

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