The base of a right pyramid is a square of side $10 \text{ cm}$. If the height of the pyramid is $12 \text{ cm}$,then its total surface area is ....... $\text{cm}^2$.

The total surface area of a hemisphere is $41.58 \text{ cm}^2$. Find its curved surface area (in $\text{cm}^2$).

$A$ $12\,m$ deep well with internal diameter $3.5\,m$ is dug. The earth taken out from it is spread evenly to form a platform of dimensions $10.5\,m \times 8.8\,m$. Determine the height of the platform in meters. (in $.25$)

The volume of a conical tent is $1232 \, m^3$ and the area of its base is $154 \, m^2$. Find the length of the canvas required to build the tent,if the canvas is $2 \, m$ in width. (in $m$) (Take $\pi = \frac{22}{7}$)

An inverted conical shaped vessel is filled with water to its brim. The height of the vessel is $8\, cm$ and the radius of the open end is $5\, cm$. When a few solid spherical metallic balls,each of radius $\frac{1}{2}\, cm$,are dropped into the vessel,$25\%$ of the water overflows. The number of balls is:

There is a wooden sphere of radius $6 \sqrt{3} \text{ cm}$. The surface area of the largest possible cube cut out from the sphere will be: