SOLUTION: The volume of a carpet that is rolled up can be estimated by the polynomial πR^2h - πr^2h a) factor the polynomial b) Use both the original and the factored forms t

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The volume of a carpet that is rolled up can be estimated by the polynomial πR^2h - πr^2h a) factor the polynomial b) Use both the original and the factored forms t      Log On


   



Question 186129: The volume of a carpet that is rolled up can be estimated by the polynomial
πR^2h - πr^2h
a) factor the polynomial
b) Use both the original and the factored forms to find the volume of a roll for which R =50cm, r =10cm, and h =4m. Use 3.14 for π.

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
πR^2h - πr^2h=(3.14*50^2*4)-(3.14*10^2*4)=31400-1256=30144
.
πR^2h - πr^2h
=pi*h(R^2-r^2)
=3.14*4(2500-100)
=12.56*2400
=30144
.
Ed