The perimeter of a square is equal to twice the perimeter of a rectangle whose dimensions are: length $8 \, cm$ and breadth $7 \, cm$. What is the circumference of a semicircle whose diameter is equal to the side of the square? (in $cm$) (Rounded off to two decimal places)

If the length and breadth of a rectangular plot are increased by $50 \%$ and $20 \%$ respectively,then the new area is how many times the original area?

Find the curved and total surface area of a conical flask of radius $6\, cm$ and height $8\, cm$.

If '$x$' is the median (altitude) of an equilateral triangle,then its area is?

If the radius of a circle is decreased by $20 \%$,then the percentage decrease in its area is (in $\%$)?

$A$ cylindrical container whose diameter is $12\,cm$ and height is $15\,cm$,is filled with ice cream. The whole ice cream is distributed to $10$ children in equal cones having hemispherical tops. If the height of the conical portion is twice the diameter of its base,find the diameter of the ice-cream cone? (in $cm$)