Abhijit Guha Solutions for Chapter: Volume and Surface Area of Solid Figures, Exercise 2: Practice Problems Level 2

The surface area of a cube is $150 {\mathrm{m}}^2$. The length of its diagonal is:

Two circular cylinders of equal volume have their height in the ratio of $1:2$. The ratio of their radii is:

The water from a roof, $9 \mathrm{sq}$ metre in area, flows down to a cylindrical container of $900 {\mathrm{cm}}^2$ base. To what height will the water rise in cylinder if there is a rainfall of $0.1 \mathrm{mm}$?

A $4$ cms long hollow metal cylinder whose outer radius is $4.3 \mathrm{cms}$ and inner radius is $1.1 \mathrm{cms}$ is cast into a solid cylinder of length $12 \mathrm{cms}$. Then find the radius of the solid cylinder:

The diameter of a sphere whose volume is $113\frac{1}{7} {\mathrm{m}}^3$ is:

A rectangular tank can hold K litres of water. How many litres of water can a tank with all its dimensions double that of the first one hold?

A copper sphere of radius $3 \mathrm{cm}$ is beaten and drawn into a wire of diameter $0.2 \mathrm{cm}$. The length of the wire is:

The height and the radius of the base of a cone each are increased by $100\%$. The volume of the cone then increases by: