$A$ cylinder with base radius $8\, cm$ and height $2\, cm$ is melted to form a cone of height $6\, cm$. The radius of the cone will be (in $cm$):

The radius of the base of a conical tent is $5 \, m$. If the tent is $12 \, m$ high,then the area of the canvas required to make the tent is (in $\pi \, m^2$)

$A$ right circular cylinder is circumscribing a hemisphere such that their bases are common. The ratio of their volumes is

Sum of the length,width and depth of a cuboid is $s$ and its diagonal is $d$. Its surface area is

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

$A$ prism with a right triangular base is $25\, cm$ high. If the shorter sides of the triangle are in the ratio of $1: 2$ and the volume of the prism is $100\, cm^3$, what is the length of the longest side of the triangle?