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Mathematics Guide | Tuesday, September 16, 2008


Hope this guide will help you guys to score in mathematics. Also, please give me feedback give you guys find it uncomplete.


Formulas!!!

Volume of cylinder is HRsq (R is to the power of 2)


Volume of cone is 1/3HRsq (R is to the power of 2)


Hint to remember it easily- Cone is always 1/3 volume of cylinder, and cylinder is the circle area time its height. This might help u guys to remember.



Now we go on to the surface area of cone and cylinder


Surface area of cylinder


Step 1: We find the circumference of the cylinder D

Step 2: After that the height of the cylinder mulitple D. So it DH



Hint: This is like a rectangle, u find the circumference which is the side, and mulitple the height to find the surface area.


Surface area of a cone is RL

L is the slanted length of the cone. Sorry this you guys would have to memorise.

Whoa, this is frustrating, I would like to use (pi) to sub for this annoying symbol !!
-------------------------------------------------------------------------------------------------
Now for the Sphere volume
_
it is 4/3(pi)r.cub (r is to the power of 3)
_
and surface area is 4(pi)r .sq ( ris the power of 2)
_
That should be most of the annoying formula you guys have trouble with.
_
Volume of pyramid and cube you guys should have no problems with.
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Now Shall we go on to kinematics? Alright lets procede.
_
Gradient of speed/time graph is the acceleration of the object.
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Area of speed/time graph is the distance travelled by the object.
_
For distance/time graph, it is NOT the case!!
_
For distance/time graph the distance is given on the graph. since its distance time graph, u can find speed.
_
The gradient and the area of distance/time graph do not represent anything at all. So do not get trick.
_
* Also when distance/time graph have a constant gradient, it does not makes it accleration constant. Instead the acceleration is 0 cause there is NO increase in speed since the speed is constant cause distance divide by time is speed.
_
Also, if you have any problem in mathematics, post it on the blog, I would try to upload it onto the blog. Feedback is very welcome
_
Pardon me if there is alot of grammatical errors.
_
Signing off Jiexiang

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