Volume test questions - National 5 Application of Maths Revision

Calculate the volume of this shape. Give your answer to 1 decimal place. (Take \(\pi = 3.14\))

\[2205.4 m^{3}\]

\[1487.3 m^{3}\]

\[8821.3 m^{3}\]

Six litres of liquid is to be poured into cylindrical jars which each have a base radius of \(2.9cm\) and a height of \(7.3 cm\).

There is to be a space of \(2.1 cm\) at the top of each jar above the level of the liquid. How many jars can be properly filled?

31

37

43

A drinking cup is shaped as a cone with the pointed end removed as shown.

Calculate the amount of liquid it can hold if full to the brim. Give your answer to the nearest millilitre. (Take \(\div = 3.14\)).

\[163 ml\]

\[652 ml\]

\[157 ml\]

Work out the volume of this prism.

\[48cm^{3}\]

\[192cm^{3}\]

\[384cm^{3}\]