The height and base radius of a cone are each increased by $100 \%$. The volume of the cone now becomes

If the volumes of two cubes are in the ratio $27: 1$,the ratio of their edges is

The base of a right prism is a quadrilateral $ABCD$. Given that $AB = 9\, cm$,$BC = 14\, cm$,$CD = 13\, cm$,$DA = 12\, cm$ and $\angle DAB = 90^{\circ}$. If the volume of the prism is $2070\, cm^3$,then the area of the lateral surface is........$cm^2$.

If the area of the base,height,and volume of a right prism are $(3 \sqrt{3} / 2) P^{2} \, \text{cm}^{2}$,$100 \sqrt{3} \, \text{cm}$,and $7200 \, \text{cm}^{3}$ respectively,then the value of $P$ is?

$A$ cistern of dimensions $2.4 \, m \times 2.0 \, m \times 1.5 \, m$ takes $2 \, \text{hours} \, 30 \, \text{minutes}$ to get filled with water. The rate at which water flows into the cistern is

The radii of a cylinder and a cone are equal. If the height of the cylinder is equal to the slant height of the cone,then the ratio of the curved surface areas of the cylinder and the cone is: (in $:1$)