Find the value of

A cylindrical jug that carries 6 ℓ of water when it is filled to the brim, has a height of 21 𝑐𝑚. Determine the diameter of the base surface of the jug (in 𝑐𝑚)? Round off your answer to the nearest integer. 

A container with a length of 40 cm, a breadth of 30 cm and a height of 10 cm contains 12 identical cans with a diameter of 6 cm and a height of 10 cm. The remaining space is filled with a thick liquid. How much liquid was required to fill the gaps of the container?

A wooden lead pencil is in the shape of a cylinder. The pencil is 15 cm long with radius 0,3 cm and its lead is of radius 0,1 cm. What is the volume of wood in the pencil?

Determine the volume of a prism with l = 0.18 𝑚, b = 80 𝑚𝑚 and h = 30 𝑐𝑚. Your answer must be converted to litres, rounded to two decimal places. 

A small dam is shaped like a cylinder. If the water in the dam is 3 m deep, and the pool has a diameter of 13 m, what is the volume of water in the dam, rounded to the nearest integer?

Find the area of the

shaded region in the following figure.

Consider the diagram below with measurements indicated on it. The rectangle of diagonal 5 cm fit perfectly into the circle. Calculate the area of the shaded part of the diagram, correct to two decimal places.

Find the perimeter and the area of a square that is 1.7 cm on one side.

What is the area of the shaded region?