R. S. Aggarwal Solutions for Chapter: Volume and Surface Area, Exercise 1: EXERCISE 24A

What is the weight of water contained in a conical vessel of diameter $16 \mathrm{cm}$ and height $21 \mathrm{cm}$ ?

A solid metallic sphere of radius $10 \mathrm{cm}$ is melted and recast into $8$ small spheres of equal radii. The radius of each one of these spheres is :

Two metallic balls $\mathrm{A}$ and $\mathrm{B}$ are such that the diameter of $\mathrm{A}$ is twice the diameter of $\mathrm{B}$. What is the ratio between the volumes of $\mathrm{A}$ and $\mathrm{B}$ ?

There are some solid metallic right circular cones, each of radius $3 \mathrm{cm}$ and height $4 \mathrm{cm}$. These are melted and recast into a solid sphere of radius $6 \mathrm{cm}$. The number of these cones is:

The volumes of two cones are in the ratio $1 : 4$ and their diameters are in the ratio $4 : 5$. Their heights are in the ratio:

A solid metallic sphere of radius $10.5 \mathrm{cm}$ is melted and moulded into small right circular cones, each having $3.5 \mathrm{cm}$ as radius of the base and $3 \mathrm{cm}$ height. The number of such cones is

The radius of the base of a right circular cone is $7 \mathrm{cm}$ and its curved surface area is $550{ \mathrm{cm}}^2$. The volume of the cone is :

The diameter of a cylindrical vessel is $14 \mathrm{cm}$. It contains some water. On immersing an iron sphere fully in it, water level rises by $9\frac{1}{3} \mathrm{cm}$. What is the radius of the sphere ?