The mass of a cylinder made of barium with a height of 2 inches depends on the radius of the cylinder as defined by the function m(r)=7.188. Which system of equations and solution can be used to represent the radius if the mass of the cylinder is 11,000 grams? Round to the nearest hundredth of an inch.

Answer:[tex]r=22.07\ in[/tex]Step-by-step explanation:The correct function is[tex]m(r)=7.188\pi r^{2}[/tex]we haveSystem of equations[tex]m=7.188\pi r^{2}[/tex] -----> equation A[tex]m=11,000[/tex] -----> equation BSolve by substitution methodsubstitute equation B in equation A[tex]11,000=7.188\pi r^{2}[/tex]Solve for rDivide by 7.188π both sides[tex]r^{2}=\frac{11,000}{7.188\pi}[/tex]square root both sides[tex]r=22.07\ in[/tex]