Curved surface area of a cylinder $= \ldots \ldots \ldots$

The volume of a cube is $3375\, cm^{3}$. Find its edge and total surface area.

The radius of a sphere is $6\, cm$. It is melted and drawn into a wire of diameter $1\, cm$. Find the length of the wire (in $m$).

Lateral surface area of a cuboid $= \ldots \ldots \ldots$

The length of a metal hollow cylinder is $70\, cm$. If the radius of the hollow inside it is $10\, cm$ and the metal thickness is $1\, cm$,find the difference between the areas of the outer and inner curved surfaces.

State whether the following statement is true or false:
The lateral surface area of a cube with an edge length of $5 \, cm$ is $150 \, cm^2$.