The weight of a solid cube of iron of $1 \, cm$ edge is $17 \, gm$. What should be the weight of a similar cube of edge $3 \, cm$? (in $gm$)

The number of coins,each of radius $0.75\, cm$ and thickness $0.2\, cm$,to be melted to make a right circular cylinder of height $8\, cm$ and radius $3\, cm$ is:

Water flows into a tank with a base of $150\, m \times 100\, m$ through a pipe with a cross-section of $2\, dm \times 1.5\, dm$ at a speed of $15\, km/h$. In what time will the water reach a depth of $3\, m$? (in $hours$)

$A$ spherical ball of lead,$3 \, cm$ in diameter,is melted and recast into three spherical balls. The diameters of $2$ of these are $1.5 \, cm$ and $2 \, cm$,respectively. The diameter of the third ball is $....... \, cm$.

The height of a cylinder is decreased by $8 \%$,keeping its radius unchanged. What is the percentage change in its volume?

$A$ cylinder and a cone have their heights in the ratio $2:3$ and the radii of their bases in the ratio $3:4$. Find the ratio of their volumes.