The length of canvas $75 \, cm$ wide required to build a conical tent of height $14 \, m$ and the floor area $346.5 \, m^{2}$ is.........$m$

$A$ 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 volume of the greatest sphere that can be cut off from a cylindrical log of wood of base radius $1 \, cm$ and height $5 \, cm$ is ....... $\pi \, cm^3$.

$A$ solid cylinder has a total surface area of $231 \, cm^2$. Its curved surface area is $(2/3)$ of the total surface area. Find the volume of the cylinder (in $cm^3$).

The volumes of two spheres are in the ratio of $64:27$. The ratio of their surface areas is

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?