$A$ 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 radius of a cylinder is half its height and the curved surface area is $616 \, cm^{2}$. Approximately how many litres of milk can it contain?

From a cubical block of wood of side $1 \, m$,a cylinder of the largest possible volume is carved out. The volume (in $m^3$) of the remaining wood is

The capacity of a tank,in the form of a cylinder,is $6160 \, m^3$. If the diameter of its base is $28 \, m$,find out the cost of painting its inner curved surface at the rate of ₹ $2.8$ per $m^2$. (Use $\pi = \frac{22}{7}$)

Find the diagonal of a cuboid whose dimensions are $12\, m$ by $10\, m$ by $8\, m$.

Two $cm$ of rain has fallen on a square $Km$ of land. Assuming that $50 \%$ of the raindrops could have been collected and contained in a pool having a $100 \, m \times 10 \, m$ base,by what level would the water level in the pool have increased?