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secondary 4 | E Maths
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Nigel
Nigel

secondary 4 chevron_right E Maths chevron_right Singapore

I need help for Question 3 (b)(ii), please

Date Posted: 4 years ago
Views: 347

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Jabez Tay
Jabez Tay's answer
5 answers (Tutor Details)
1st
You can work backwards from the volume of a cone equation.

h= the radius of the larger circle
r= base radius, answer you found in the previous part.

Hope it helped you! If you still don’t understand or need help, you can contact me at [email protected]!
Jabez Tay
Jabez Tay
4 years ago
If you know how to get the angle ACD, you can use cosACD and AC=5 to obtain the base radius
Nigel
Nigel
4 years ago
In that case, can you show me how to work out the previous part (b)(i) and (b)(ii) as well as I am not able to understand with just the formula list?
Jabez Tay
Jabez Tay
4 years ago
I’m out now, so it’s abit hard to write on paper.

But if you can understand these three equations, you will be able to solve b(i) and b(ii)!

b(i) cosACD=base radius/AC

b(ii) sinACD=h/AC

Volume of cone=1/3(pi)(base radius)^3(h)

Best I can do now ps. If you can have the answer later I can write for u at night.
J
J
4 years ago
These steps are for the 'cone' CAD. (Which is actually not a cone as the segments are flat on the paper and not actually orthogonal to the perpendicular from A to CD)

The question is actually asking for the cone formed when sector CED is folded into a large cone by joining AC and AD together
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Bendy
Bendy's answer
57 answers (Tutor Details)
Apologies that I am unable to provide a written solution. Hope this helps. Will be able to provide a written one if you still need it later. Just comment here
Nigel
Nigel
4 years ago
How to find the curve face of cone?
Bendy
Bendy
4 years ago
The curved face of the cone, is actually the radius of the circle. Because you are curling the major circle section into a cone.

Try using a post it or a small piece of paper to tear into the shape and you will be able to visualize better

See this gif for better illustration
https://images.app.goo.gl/4qJwdox9RhTTXYo38
Or
https://blender.stackexchange.com/questions/64204/how-to-deform-a-2d-shape-to-make-a-3d-object
(first reply from the question)
Nigel
Nigel
4 years ago
So it is just the original radii of 5cm? Then I use Pythagoras Thereom of square root 5^2 + 4.444^2 to find h, right?
Bendy
Bendy
4 years ago
I will upload a written version. See the other solution instead
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Bendy
Bendy's answer
57 answers (Tutor Details)
Hand written solution
Bendy
Bendy
4 years ago
Hopefully this helps
J
J
4 years ago
Volume of cone should be ⅓πr²h instead of ⅓πrh. Think you've forgot to multiply by ⅓ in the calculation too

Final answer should be ⅓π(4.4444)²(2.2907)cm³ ≈ 47.38cm³
Bendy
Bendy
4 years ago
You are right! Thanks for pointing out the mistake. Did it in a rush
J
J
4 years ago
Welcome, just trying to help