A solid metallic cylinder of radius $12cm$ and height $175cm$ is melted and moulded into another solid cylinder of height $63cm$. What is the radius of the new cylinder?

Q. A solid hemisphere of wax of radius $12cm$ is melted and made into a cylinder of its base radius $6cm$. Calculate the height (in $cm$) of the cylinder.

Q. A solid metallic right circular cylinder and a solid metallic right circular cone are given. The cylinder and cone both have same height $h$ and same base radii $r$. The two solids are melted together and recast into a solid cylinder of radius $\frac{1}{2}r$. Then the height of the cylinder is $\frac{16}{3}h$.

Q. The inner and outer radii of a hollow cylinder are 15 cm and 20 cm, respectively. The cylinder is melted and recast into a solid cylinder of the same height. Find the radius of the base of new cylinder.

Q. The height of a solid metal cylinder is $20cm$. Its radius is $1.5cm$. The cylinder is melted and cast into spheres of each of radius $1.5cm$. How many such spheres can be cast from the cylinder?

Q. A solid metal cylinder of base radius $3cm$ and height $5cm$ is melted to make $n$ solid cones fo height $1cm$ and base radius $1mm$. Then value of $n$ is