A cuboid shaped slab of iron whose dimensions are $55 \mathrm{cm}\times 40 \mathrm{cm}\times 15 \mathrm{cm}$ is melted and recast into a pipe. The outer diameter and thickness of the pipe are $8 \mathrm{cm}$ and $1 \mathrm{cm}$ respectively. Find the length of the pipe.

A cylindrical pail containing water drains Into a cylindrical tub $40 \mathrm{cm}$ across and $50 \mathrm{cm}$ deep, while resting at an angle of $45°$ to the horizontal, as shown. How deep is the water in the tub when its level reaches the pail?

Spherical shaped marbles of diameter $1.4 \mathrm{cm}$ each, are dropped into a cylindrical beaker of diameter $7 \mathrm{cm}$ containing some water. Find the number of marbles that should be dropped into the beaker so that the water level rises by $5.6 \mathrm{cm}$.

A company makes solid blocks with square bases. The volume of this block is $640 {\mathrm{cm}}^3$. Its height is $10 \mathrm{cm}$. The cost of painting all the faces of this block at $₹. 15$per ${\mathrm{cm}}^2$ is?

Two men on opposite sides of a TV tower of height $26 \mathrm{m}$ notice the angle of elevation of the top of this tower to be $45°$ and $60°$ respectively. Find the distance (in meters) between the two men.