The diameter of a copper sphere is $18 \, cm$. The sphere is melted and drawn into a long wire of uniform circular cross-section. If the length of the wire is $108 \, m$,the diameter of the wire is ....... $cm$.

$A$ solid cone of height $36 \, cm$ and radius of base $9 \, cm$ is melted to form a solid cylinder of radius $9 \, cm$ and height $9 \, cm$. What percent of material is wasted in this process (in $\%$)?

If the length,breadth and height of a rectangular parallelopiped are in the ratio $6:5:4$ and if the total surface area is $33,300\, m^{2}$,then the length,breadth and height of the parallelopiped (in $m$) respectively are:

$A$ cylinder with base radius of $8\, cm$ and height of $2\, cm$ is melted to form a cone of height $6\, cm.$ The radius of the cone will be (in $cm$):

The outer dimensions of a closed box are $12 \text{ cm}$ by $10 \text{ cm}$ by $8 \text{ cm}$. If the box is made of wood $1 \text{ cm}$ thick,find out the capacity of the box (in $\text{cm}^3$).

$A$ cylindrical can with a horizontal base and an internal radius of $3.5 \, cm$ contains sufficient water so that when a solid sphere is placed inside,the water just covers the sphere. The sphere fits exactly into the can. The depth of the water in the can before the sphere was added is: