A regular hexagon is constructed in a circle of radius $5 \mathrm{cm}$ . Calculate the perimeter of the hexagon. Give your answer upto a suitable degree of accuracy.

Find the length of chord $JK$. Give your answer to $1$ decimal place. [Enter the value excluding units]

Find the length of chord $LM$. Give your answer to $1$ decimal place. [Enter the value excluding units]

The sector $AOB$ is one third of the circle. Find the length of chord $AB$. Give your answer to $1$ decimal place. [Enter the value excluding units]

Calculate the volume of this solid. The end face is a sector of a circle, radius $4 \mathrm{cm}$.

A light hardwood dowel has a semi-circular cross-section of radius $3 \mathrm{cm}$, and is $2 \mathrm{m}$ in length. Calculate the volume of wood in the dowel.

Find the length of chord $KM$. [Enter the value excluding units]

Find the length of chord $PQ$.

Find the perimeter of sector $BD$.