The length of the longest pole that can be placed in a room of dimensions $(10 \text{ m} \times 10 \text{ m} \times 5 \text{ m})$ is (in $\text{m}$):

Find the curved surface area of a cylinder whose height is $35 \, cm$ and radius of the base is $15 \, cm$. (in $cm^2$)

The volume of a cube is $3375\, cm^{3}$. Find its edge and total surface area.

$A$ heap of wheat is in the form of a cone whose diameter is $42 \, m$ and height is $20 \, m$. The heap is to be covered by canvas to protect it from rain. If the price of canvas is $₹ 75$ per $m^2$,find the cost of the canvas required.

The radius and height of a cylindrical cistern are $70 \,cm$ and $1.5 \,m$ respectively. How many litres of water can it hold?

The surface area of a sphere is $5544 \, cm^2$. Find its volume in $cm^3$.