The height of cylinder a is 32 feet and the height of a cylinder b is 24 feet . If the cylinders are similar , find the surface area ratio of cylinder a to cylinder b

Answer:The surface area ratio of cylinder a to cylinder b is [tex]\frac{16}{9}[/tex]Step-by-step explanation:we know thatIf two figures are similar, then the ratio of its surface areas is equal to the scale factor squaredThe scale factor is equal to the ratio of its corresponding sidessoLetz------> the scale factorx------> surface area of cylinder ay------> surface area of cylinder b[tex]z^{2}=\frac{x}{y}[/tex]step 1Find the scale factor[tex]z=\frac{32}{24}=\frac{4}{3}[/tex]step 2Find the ratio of the surface areas[tex]z^{2}=\frac{x}{y}[/tex]we have[tex]z=\frac{4}{3}[/tex]substitute[tex](\frac{4}{3})^{2}=\frac{x}{y}[/tex][tex]\frac{x}{y}=\frac{16}{9}[/tex]