A cylinder is of height $31 cm$ and base radius $7 cm$. A hemisphere of radius equal to the base radius of the cylinder is cut off from one end and a cone of maximum height from the remaining part is also cut off. The curved surface area of the remaining part is

The top and bottom radii of a frustum of a cone are $6 cm \& 3 cm$, respectively. Its height is $8cm$. There is a conical cavity of height $3 cm \& 6 cm$ at the bottom. The amount of material in the solid is

In the figure shown, if $AD=5, DG=2 \& GH=4.$

What is the shortest distance between $E \& C?$

The number of coins of the base are $38.5 c{m}^2$  and thickness $5 mm$ required to make a cylinder of volume $462 c{m}^3$ are

How many cubes each of edge $6 cm$ can be cut from a cuboid of $42 cm\times 36 cm\times 24 cm?$