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#1 2006-02-26 20:20:55
- Jai Ganesh
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Mensuration
M # 1
A cone, hemisphere and a cylinder have equal bases and same heights. What will be the ratio of their volumes?
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#2 2006-02-26 22:40:08
- Jai Ganesh
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Re: Mensuration
M # 2
The diagonals of a rhombus are 10 cm and 24 cm. What is (i) the perimeter of the rhombus? (ii) area of the rhombus?
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#3 2006-02-27 00:02:51
- Jai Ganesh
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Re: Mensuration
M # 3
What is the length of the longest pole that can be placed inside a room of length 12 m, breadth 4 m and height 3 m?
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#4 2006-02-27 00:15:14
- krassi_holmz
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Re: Mensuration
m#2 perimeter:4.13=52
area:240
IPBLE: Increasing Performance By Lowering Expectations.
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#5 2006-02-27 00:21:19
- krassi_holmz
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Re: Mensuration
m#3:13
m#1:Pir^2h/3, Pir^2h,3Pir^2h/8
IPBLE: Increasing Performance By Lowering Expectations.
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#6 2006-02-27 02:05:06
- Jai Ganesh
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Re: Mensuration
M # 3 : krassi_holmz, you're correct! The answer is 13 m.
M # 2 : Perimeter = 52 m, correct! Area=?
M # 1 : Try again 
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#7 2006-02-27 02:34:22
- krassi_holmz
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Re: Mensuration
m#2
area: not 240, 20/2=120!
1# let someone other try
IPBLE: Increasing Performance By Lowering Expectations.
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#8 2006-02-27 02:47:23
- Jai Ganesh
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Re: Mensuration
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#9 2006-02-27 03:13:32
- krassi_holmz
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Re: Mensuration
thanks
IPBLE: Increasing Performance By Lowering Expectations.
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#10 2006-02-27 06:35:50
- mathsyperson
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Re: Mensuration
M # 1 (and here's a b to put the post back in the natural key. )
The cone has a volume of 1/3πr²h.
The hemisphere has a volume of 2/3πr³.
The cylinder has a volume of πr²h.
r = h, so the hemisphere's volume can be written as 2/3πr²h.
Taking out all of the common factors gives ratios of 1/3:2/3:1.
Scaling this up makes the ratios 1:2:3.
Why did the vector cross the road?
It wanted to be normal.
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#11 2006-02-27 16:42:15
- Jai Ganesh
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Re: Mensuration
Well done, mathsyperson 
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#12 2006-02-28 01:08:45
- Jai Ganesh
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Re: Mensuration
M # 4
A spherical iron ball is dropped into a cylindrical
vessel of base diameter 14 cm, containing water. The water
level is increased by 9 1/3 cm. What is the radius of the ball?
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#13 2006-02-28 11:30:56
- Patrick
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Re: Mensuration
M#4 -
Determine the volume of the ball:
π7²*9 1/3 = 1436.755cm³
(how do I write pi here?)
And then the radius has to be the square root of:
1436.755/(4/3)*π
which is(about) = 18.52cm
(if this is incorrect, it's because I'm tiiiired 
)
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#14 2006-02-28 12:22:15
- mathsyperson
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Re: Mensuration
I edited your post to include π. To write pi as a symbol, just stick a : in front of it.
You're right about the volume of the sphere, although it would be easier to leave it as 7²*π*9 1/3.
This has to equal 4/3πr³.
The π's cancel out, and you can divide by 4/3 on each side to get 7²*7 = r³.
And that makes the radius of the sphere 7cm.
Why did the vector cross the road?
It wanted to be normal.
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#15 2006-02-28 16:12:58
- Jai Ganesh
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Re: Mensuration
Well done, Patrick and mathsyperson
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#16 2006-03-01 03:49:17
- Jai Ganesh
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Re: Mensuration
M # 5
How many metres of cloth 11m wide would be required to make a conical tent of base radius 7m and height is 24m?
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#17 2006-03-01 13:09:04
- irspow
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Re: Mensuration
I am at an age where I have forgotten more than I remember, but I still pretend to know it all.
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#18 2006-03-01 15:56:08
- Jai Ganesh
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Re: Mensuration
Well done, irspow!
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#19 2006-03-02 17:41:14
- Jai Ganesh
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Re: Mensuration
M # 6
A silver cup has the shape of a hemisphere surmounted by a cylinder.The diameter of the sphere is 10.5 cm and the total height of the cup is 11.25 cm. Find its capacity.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#20 2006-03-05 17:17:01
- Jai Ganesh
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Re: Mensuration
M # 7
Water flows through a cylindrical pipe of internal radius 3.5 cm at 5m per second. Calculate the volume of water in litres discharged by the pipe in one minute.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#21 2006-03-08 16:12:27
- Jai Ganesh
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Re: Mensuration
M # 8
A cylindrical jar of radius 6 cm contains oil. Iron spheres each of radius 1.5 cm are immersed in the oil. How many spheres are necessary to raise the level of the oil by 2 cm?
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#22 2009-01-04 09:20:33
- JaneFairfax
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Re: Mensuration
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#23 2009-01-04 16:34:00
- Jai Ganesh
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Re: Mensuration
Answer to M # 8:-
Perfectly correct, Janefairfax!
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#24 2013-09-13 22:28:23
Re: Mensuration
M # 1
A cone, hemisphere and a cylinder have equal bases and same heights. What will be the ratio of their volumes?
OMG!
This question came in our Annual Exams last year.
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#25 2014-05-31 17:00:13
- Jai Ganesh
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Re: Mensuration
Hi,
Interesting, Agnishom!
M # 9. A tailor has 37.5 meters of cloth and he has to make 8 pieces out of a meter of cloth. How many pieces can he make out of this cloth?
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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