$1\, m^{3} = \dots \, cm^{3}$

Write True or False and justify your answer.
An edge of a cube measures $r \, cm$. If the largest possible right circular cone is cut out of this cube,then the volume of the cone (in $cm^3$) is $\frac{1}{6} \pi r^3$.

The radius of a cone is $15 \, cm$ and its slant height is $25 \, cm$. Find the curved surface area and the total surface area of the cone. $(\pi = 3.14)$

The surface area and volume of a cube with an edge length of $x \ cm$ are numerically equal. Find the value of $x$.

How many square metres of canvas is required for a conical tent whose height is $3.5 \, m$ and the radius of the base is $12 \, m$ (in $, m^{2}$)?

The total surface area of a hemisphere is $4158 \, cm^2$. Find its diameter in $cm$.