How to work out the volume of a cone and hemisphere – or an ice cream!
These are really higher level grade A / B 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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The 10 most common maths exam mistakes ... and how to avoid them.
Although this video was very helpful and i understand, I have a My Maths question which has the height of the cone and hemisphere but no measurement for the diameter, how would i find the volume ? I’m am stuck in my tracks lol SOS
Hi – thanks for your comment, happy to help but I’d really need to see the question. You would need some way of working out the radius, to be able to calculate the volume …. All best S 🙂
That was really helpful! Thanks so much for your help!
+N7 RiZe Is that Movilla Petru? lol
What do you do if the height is the length of the cone and hemisphere? How
do you work the height of the cone itself?
Great thank you for the tutorial.
oh my God that jumpscare at 4:14
This was really helpful, thanks a lot
I got 376.8
which is 377
Thank you very much Simon! I wish we had more math teachers like you in our
schools.
I was wondering if you could post a video on how to find the volume of the
amount of ‘water’ in a shape. Sometimes theres (im using an example) a
picture of a triangular shape with a height of 15cm, and a radius of 9cm.
It has water in it with a height of 8cm. (I hope im not confusing you!) How
would you work that out?
Thanks!
Thank you very much Simon! I wish we had more math teachers like you in our
schools.
I was wondering if you could post a video on how to find the volume of the
amount of ‘water’ in a shape. Sometimes theres (im using an example) a
picture of a triangular shape with a height of 15cm, and a radius of 9cm.
It has water in it with a height of 8cm. (I hope im not confusing you!) How
would you work that out?
Thanks!
how is calculate the area for the uneven diagram with out dimensions?
sir plz tell earliest
THIS VIDEO IS VERY USEFUL THANQ
HOW IS CALCULATE THE UNEVEN DIAGRAM WITH OUT DIMENSION ?
What if the height given is for the cone and the hemisphere?
Why cm cubed and not just cm?
i gave you a like because you said football not soccer 🙂
How about if the measurements were given in terms of r?
nice
Someone who helps! Thanks!
That’ s great, thanks for letting me know 🙂
Merci beacoup, this help me a lot, Merci
thank you
Thank you very much Sir.