If the volume of a right circular cone of height $9 \, cm$ is $48 \pi \, cm^3$,find the diameter of its base. (in $, cm$)

It costs $Rs. 2200$ to paint the inner curved surface of a cylindrical vessel $10 \, m$ deep. If the cost of painting is at the rate of $Rs. 20$ per $m^2$,find the inner curved surface area of the vessel. (in $, m^2$)

Find the surface area of a sphere of radius $7 \, cm$. (in $, cm^{2}$)

The capacity of a closed cylindrical vessel of height $1 \, m$ is $15.4$ litres. How many square metres of metal sheet would be needed to make it (in $, m^{2}$)?

The slant height and base diameter of a conical tomb are $25 \, m$ and $14 \, m$ respectively. Find the cost of white-washing its curved surface at the rate of $Rs. 210$ per $100 \, m^2$.

Find the amount of water displaced by a solid spherical ball of diameter $28 \, cm$.