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Flannery Cannery packs peaches in 0.5 L cylindricalcans..... a) Express the surf

ID: 3094210 • Letter: F

Question

Flannery Cannery packs peaches in 0.5 L cylindricalcans..... a) Express the surface area S of the can as a function of theradius x (in cm) b) Find the dimensions of the can if the surface is less than900 cm2 c) Find the least possible surface area of the can Flannery Cannery packs peaches in 0.5 L cylindricalcans..... a) Express the surface area S of the can as a function of theradius x (in cm) b) Find the dimensions of the can if the surface is less than900 cm2 c) Find the least possible surface area of the can c) Find the least possible surface area of the can

Explanation / Answer

let x= radius     L= height s= surface area v= volume v=0.5 l =500 cm^3 volume, v=x^2*L therefore L=v/(x^2) a) surface area, s=2xL + 2x^2 s= 2x (v / (x^2)) +2x^2    = 2v/x + 2x^2     =2v/x + 2x^2 b) 900 cm^2= s