The sum of the radius of the base and the height of a solid cylinder is $37 \, m$. If the total surface area of the cylinder is $1628 \, m^2$,find the volume (in $m^3$).

$A$ hollow cylinder of height $3\,cm$ is recast into a solid cylinder. If the external and internal radii of the hollow cylinder are $4.3\,cm$ and $1.1\,cm$ respectively,what will be the radius of the solid cylinder? (in $cm$)

$A$ cone of height $9 \, cm$ with diameter of its base $18 \, cm$ is carved out from a wooden solid sphere of radius $9 \, cm$. The percentage of the wood wasted is

The volumes of a right circular cylinder and a sphere are equal. The radius of the cylinder and the diameter of the sphere are equal. The ratio of the height to the radius of the cylinder is:

$A$ cube of lead with edges measuring $6\, cm$ each is melted and recasted into $27$ equal cubes. The length of the edge of the new cube is.......$cm$

The diameter of a sphere is $6 \, cm$. It is melted and drawn into a wire of diameter $0.2 \, cm$. Find the length of the wire in meters $(m)$.