The area of the base of a right circular cylinder is $154 {\mathrm{cm}}^2$ and its height is $15 \mathrm{cm}$. Find the volume of the cylinder in ${\mathrm{cm}}^3$.

A water tank is in the form of a cylinder, whose radius is $2 \mathrm{m}$ and length is $21 \mathrm{m}$. Find the quantity of water in litres that can be stored in the tank? $\left\{\mathrm{\pi }=\frac{22}{7}\right\}$

The radii of two circles are $5 \mathrm{cm}$ and $12 \mathrm{cm}$, respectively. The area of third circle is equal to the sum of the areas of the circles. The radius of the third circle is 

If the diagonal of a square is doubled to make the diagonal of another square, then the area of the new square will 

The number of coins having diameters $1.5 \mathrm{cm}$ and $0.2 \mathrm{cm}$ thick to be melted to form a right circular cylinder of height $10 \mathrm{cm}$ and $4.5 \mathrm{cm}$, is

If the height of a cylinder becomes $\frac{1}{4}\mathrm{th}$ of the original height and the radius is doubled, then which of the following will be true.

Ramesh has following three containers: 

1. Cylindrical container A, having radius r and height h,

2. Cylindrical container B, having radius $2r$ and height $\frac{1}{2}h$

3. Cylindrical container C, having dimensions $r\times r\times h$

The arrangement of the containers of the increasing order of their volume, is