Question

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 1

`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`

544 cubic inches.