5.08 Finding dimensions from surface area or volume

Each face of a cube has an area of $64$64 cm².

Find the height $h$h mm of this closed cylinder if its surface area ($S$S) is $27288$27288mm² and the radius ($r$r) of its circular faces is $43$43mm.

A square pyramid has a surface area of $310$310 cm². The area of its square base is $25$25 cm².