Shyam Saraf and Abhilasha Swarup Solutions for Exercise 1: EXERCISE

One of the sides of a cube is $11 \mathrm{cm}$. Find its volume.

The diameter of a cylinder is $18 \mathrm{cm}$, and its height is $21 \mathrm{cm}$. Then, the surface area is:

The base radius of a cylindrical bucket is $10 \mathrm{cm}$. It is filled up to a height of $30 \mathrm{cm}$. A heavy iron spherical ball of radius $5 \mathrm{cm}$ is placed in the bucket to submerge completely in the water. Find the increase in the level of water.

The length of a wire of  $0.9 \mathrm{cm}$ radius that can be drawn after melting a solid sphere of diameter $18 \mathrm{cm}$ is:

If the volume (in ${\mathrm{cm}}^3$) and the surface area (in ${\mathrm{cm}}^2$) are numerically equal, then the volume of the sphere (in ${\mathrm{cm}}^3$) is:

A metallic sphere of diameter $10 \mathrm{cm}$ is melted into small spherical balls of radius $0.20 \mathrm{cm}$ each. How many small balls can be made?

The area of the base of a cone is $225\mathrm{\pi } {\mathrm{cm}}^2$, and its height is $20 \mathrm{cm}$. Find its volume.

A tent is in the shape of a right cylinder with a cone on its top and the same circular base of radius $7 \mathrm{m}$. The height of the cone is $7 \mathrm{m}$, and the height of the cylinder is $21 \mathrm{m}$. Find the cost of canvas required at $\mathrm{Rs}. 10/{\mathrm{m}}^2$.