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How to work out the volume of a cone and hemisphere

– or an ice cream! … which is just the volume of a cone and hemisphere, added together 🙂

These are really higher level grade 5 – 6 GCSE questions but:

– the formulas are given on the exam paper (although you should learn them :-))

and

– if you work through logically it should be straightforward.

The questions usually involve calculating a volume of a cone, sphere or hemisphere. There might be a couple of ‘curve balls’ such as different units, diameters given etc.

Download the Quick Test here

 

Volume of a cone

 

 

 

 

where

r is the radius at the base

h is the height

pi is given in the exam paper (usually 3.142)

 

Volume of a sphere (a ball)

 

 

 

 

where r is the radius

pi is given in the exam paper (usually 3.142)

A hemisphere is just half a sphere so you can calculate the total and then divide by two.

 

Putting it all together!

So, how big is an ice cream?

I calculated around 330 cm³ and it was great fun – have you ever tried measuring an ice cream?!

 

Watch the videos on YouTube

How to work out the volume of a cone 

How to work out the volume of a hemisphere

How to calculate the volume of a cone and hemisphere 

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