In the Indus Valley Civilisation (about $3000 \, BC$),the bricks used had the ratio of $\ldots \ldots$ for length,breadth,and height,respectively.

The radius and slant height of a cone are in the ratio of $5:13$. If its curved surface area is $1836.9 \, cm^2$,find its volume. (Use $\pi = 3.14$) (in $cm^3$)

The front compound wall of a house is decorated by wooden spheres of diameter $21\, cm,$ placed on small supports as shown in the figure. Eight such spheres are used for this purpose,and are to be painted silver. Each support is a cylinder of radius $1.5\, cm$ and height $7\, cm$ and is to be painted black. Find the cost of paint required if silver paint costs $25$ paise per $cm^{2}$ and black paint costs $5$ paise per $cm^{2}.$

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

$A$ small village, having a population of $5000$, requires $130\, \text{litres}$ of water per head per day. The village has an overhead cuboidal tank measuring $20\, \text{m} \times 13\, \text{m} \times 10\, \text{m}$. For how many days will the water of this tank last?

$A$ square sheet of paper,$44 \, cm$ long,is rolled along its length to form a cylinder. Find the volume of the cylinder so formed. (in $cm^3$)