23-03-2015
Mathematics

Answered

A roll of paper towels is 12 inches high and 8 inches in diameter .The cardboard tube in the center of the roll has the same height as the paper towels and has a diameter of 2.5 inches .Estimate the volume of paper towels on the roll .Use 3.14 for pi.

Answer :

Since3122015 Since3122015

23-03-2015

[tex]V=V_{paper}-V_{tube}\\V=\pi r^2h-\pi r^2h\\V=(3.14)(4)^2(12)-(3.14)(1.25)^2(12)\\V=(3.14*12)(4^2-1.25^2)\\V=37.68(16-1.5625)\\V=37.68(14.4375)\\V=544.005[/tex]

544 cubic inches.

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