$A$ circle and a rectangle have the same perimeter. The sides of the rectangle are $18 \text{ cm}$ and $26 \text{ cm}$. The area of the circle is .......... $\text{cm}^2$. [Take $\pi = \frac{22}{7}$]

What is the cost of flooring a rectangular hall?
Statements:
$I.$ The length of the rectangle is $6 \ m$.
$II.$ The breadth of the rectangle is $2/3$ of its length.
$III.$ The cost of flooring an area of $1 \ m^2$ is ₹ $4500$. (Note: Corrected unit/value for logical consistency).

The inner circumference of a circular track is $440 \, cm$. The track is $14 \, cm$ wide. Find the diameter of the outer circle of the track? (in $cm$)

$A$ sphere of $30 \ cm$ radius is dropped into a cylindrical vessel of $80 \ cm$ diameter,which is partly filled with water. If its level rises by $x \ cm$,find $x$ (in $cm$). (in $.5$)

$A$ solid metallic sphere of radius $21\, cm$ is melted and recast into a cone with diameter of the base as $21\, cm$. What is the height (in $cm$) of the cone?

Two circles touch each other externally. The sum of their areas is $130 \pi \text{ cm}^2$ and the distance between their centres is $14 \text{ cm}$. The radius of the smaller circle is . . . . . . $\text{cm}$.