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IGCSE MATHS Doubts

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Choc.Kits:

--- Quote from: A@di on May 17, 2010, 12:23:47 pm ---Radius = X
Height = y

Volume or W = 1/3 * x^2 * y * pi = (x^2ypi)/3

3 times --> Radius = 3x
Height = 3y

VOlume = 1/3 * pi * (3x)^2 * 3y = 9x^2y*pi

W = (x^2ypi)/3
Vol. =  9x^2y*pi

W * 27 = Vol.

27W
----------

cii) Radius = 2x

      Height = y

Vol. = 1/3 * pi * (2x)^2 * y = (4x^2ypi)/3

W = (x^2ypi)/3

W * 4 = Vol.

Therefore, 4W

PS : Volume of a cone = 1/3*pi*r^2*h

--- End quote ---

Thanks a billion for that reply! I owe you ;)

Ghost Of Highbury:
Your welcome ..

Mr.DitD:
Hello everyone!!!

Can some1 please explain this question:

(c) A different cone, with radius x and height y, has a volume W.

Find, in terms of W, the volume of: (ii) a cone of radius 2x and height y.

http://www.freeexampapers.us/IGCSE/Maths/CIE/2009%20Nov/0580_w09_qp_4.pdf  Q7 part (c)

 ???

Vin:
[
--- Quote from: Mr.DitD on May 17, 2010, 02:39:04 pm ---Hello everyone!!!
Can some1 please explain this question:
(c) A different cone, with radius x and height y, has a volume W.

--- End quote ---

--- Quote from: A@di on May 17, 2010, 12:23:47 pm ---Radius = X
Height = y

Volume or W = 1/3 * x^2 * y * pi = (x^2ypi)/3

3 times --> Radius = 3x
Height = 3y

VOlume = 1/3 * pi * (3x)^2 * 3y = 9x^2y*pi

W = (x^2ypi)/3
Vol. =  9x^2y*pi

W * 27 = Vol.

27W
----------

cii) Radius = 2x

      Height = y

Vol. = 1/3 * pi * (2x)^2 * y = (4x^2ypi)/3

W = (x^2ypi)/3

W * 4 = Vol.

Therefore, 4W

PS : Volume of a cone = 1/3*pi*r^2*h

--- End quote ---

Mr.DitD:

--- Quote from: ~VIN1094~ on May 17, 2010, 02:40:50 pm ---[

--- End quote ---

I understand that Vol. = 1/3 * pi * (2x)^2 * y

But i dont know how it becomes: (4x^2ypi)/3

Can u please explain furthur if possible? Thanks a lot!!

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