RPH Editorial Board Solutions for Exercise 1: MULTIPLE CHOICE QUESTIONS

If the weight of $1$ cubic $cm$ of cast iron is $21 g$ then the weight of a cast iron pipe of length $1 m$ with a bore of $3 cm$ and in which the thickness of the metal is $1 cm$, is:

The number of solid spheres, each of diameter $6 cm$, that could be moulded to form a solid metal cylinder of height $45 cm$ and diameter $4 cm$, is:

A right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is:

If a solid sphere of radius $10 cm$ is moulded into $8$ spherical solid balls of equal radius, then surface area of each ball (in $c{m}^2$) is:

The radii of two spheres are in the ratio $1 : 2$. The ratio of their surface areas is:

The radii of two cylinders are in the ratio $2 : 3$ and their heights are in the ratio $5 : 3$ then their volumes will be in ratio:

The volume of a hemisphere is $19404 c{m}^3$. The total surface area is:

If the volume and surface area of a sphere are numerically the same, then its radius is: