The curved surface area of a circular cylinder of height $h$ and the slant surface area of a cone of slant height $2h$,having the same circular base,are in the ratio of:

The volume of the greatest sphere that can be cut off from a cylindrical log of wood of base radius $1 \, cm$ and height $5 \, cm$ is ....... $\pi \, cm^3$.

The height of a right circular cone and the radius of its circular base are $9 \, cm$ and $3 \, cm$ respectively. The cone is cut by a plane parallel to its base so as to divide it into two parts. The volume of the frustum (i.e.,the lower part) of the cone is $44 \, cm^3$. The radius of the upper circular surface of the frustum $\left(\text{taking } \pi = \frac{22}{7}\right)$ is

The number of bricks,each measuring $25\,cm \times 12.5\,cm \times 7.5\,cm$,required to construct a wall $6\,m$ long,$5\,m$ high,and $0.5\,m$ thick,if the mortar occupies $5\%$ of the volume of the wall,is:

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 ....... $cm$.

The length of an edge of a hollow cube opened at one face is $\sqrt{3}$ metres. What is the length of the largest pole that it can accommodate?