What is the curved surface area (in $cm^2$) of a cylinder having radius of base as $14 \, cm$ and height as $10 \, cm$?

$A$ solid cylinder has a total surface area of $462 \, cm^2$. Its curved surface area is $\frac{1}{3}$ of its total surface area. The volume of the cylinder is.......$cm^3$.

The radius of a wheel is $3.5 \, cm$. What is the distance (in $cm$) travelled by the wheel in $20$ revolutions?

The ratio of the curved surface area and volume of a cylinder is $1:7$. The ratio of the total surface area and volume is $187:770$. What is the ratio of its base radius to its height?

$A$ conical vessel of base radius $2 \ cm$ and height $3 \ cm$ is filled with kerosene. This liquid leaks through a hole in the bottom and collects in a cylindrical jar of radius $2 \ cm$. The kerosene level in the jar is.....$cm$

An iron cube of $10\, cm$ sides is hammered into a rectangular sheet of thickness $0.5\, cm$. If the sides of the sheet are in the ratio $1:5$, the sides (in $cm$) are: