How many balls of radius $0.5\, cm$ can be produced by melting a metallic cylinder with radius $4\, cm$ and height $3\, cm$?

The dome of a temple is in the shape of a cone with radius $3.5\, m$ and height $12\, m$. Find the cost of painting its outer surface at the rate of ₹ $30/m^2$.

The radii of the ends of a frustum of a cone of height $h \text{ cm}$ are $r_{1} \text{ cm}$ and $r_{2} \text{ cm}$. The volume in $\text{cm}^{3}$ of the frustum of the cone is:

The volume of a hemisphere is equal to:

The volume of the largest right circular cone that can be cut out from a cube of edge $4.2 \,cm$ is (in $cm^3$)

For a bucket in the shape of a frustum of a cone,the radii are $28\,cm$ and $7\,cm$ and the height is $45\,cm$. How many litres of water can it hold?