The surface areas of two similar cylinders are 6 pi ft^2 and 54 pi ft^2. The volume of the smaller cylinder...

of the smaller cylinder is 2 pi ft^3. What is the volume in cubic feet of the larger cylinder?

The larger cylinder's surface area is 9 times that of the smaller
so the radius of the larger cylinder is sqrt(9) = 3 times as large.
The cylinder therefore has dimensions three times the smaller so the volume will be 3^3 = 27 times the volume of the smaller cylinder which is 27*2pift^3 = 54pift^3