Beer Keg Maths

Gap-fill exercise

Fill in all the gaps. Press "Check" to check your answers when you have finished.
beerIn this exercise you need to know the formula for the volume of a cylinder.
V = πr²h where V is the volume, r is the radius and h is the height. Use π on your scientific calculator so that your answers are accurate.
You also need to know that 1 inch = 2.54 cm and 1000cm³ = 1 litre.
1 litre = 1.76 pints.
The diagram shows the sizes of some common beer kegs.
W is the width of the keg. This is also the diameter.
What is the capacity of each keg in pints? Calculate the volume of each keg and compare this with the given capacity in litres. Round your answers to the nearest tenth of a litre. Do the answers match? Explain why or why not.
Challenge. Which keg holds most beer compared to its volume?
Use the table for your answers.

Capacity (pints)31.68
Radius cm (to 2 decimal places)11.43
Volume cm³ (to nearest whole number)23977
Volume (litres) (Round to 1 decimal place)24.0
% beer/volume (Round to the nearest whole number)75

Are the capacities of the kegs the same as the volumes? Explain why.
Which keg holds most beer compared to its volume? Keg
What do you think is different about this keg?

If you are finding these questions difficult, you can look at the answers.