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This Mathematics Problem Is Giving Me A Big Problem - Education - Nairaland

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This Mathematics Problem Is Giving Me A Big Problem by monsieurbanky: 2:15pm On May 15, 2017
I need someone to help me solve the problem with detail solution
you are to calculate the height of the water in the cone,send your answer here or to my email monsieurbanky200@gmail.com
many thanks

Re: This Mathematics Problem Is Giving Me A Big Problem by Blueeyedboi(m): 2:32pm On May 15, 2017
Volume of cone = 1/3 X 22/7 X 6 X 6 X 16
=603.4cmcubed
Where radius = diameterĂ·2 = 6cm
Height of cone= 16cm,
Since the cone is half-full,we have;
Volume of water = 1/2 X volume of cone
=1/2 X 603.4
=approx 302cmcubed grin
Re: This Mathematics Problem Is Giving Me A Big Problem by Blueeyedboi(m): 2:38pm On May 15, 2017
Pay me... cheesygrin
Re: This Mathematics Problem Is Giving Me A Big Problem by monsieurbanky: 2:46pm On May 15, 2017
u are required to calculate the height of the water in the cone,I got the solution u posted above. u are half way done.if u get the solution I will really appreciate it .
Re: This Mathematics Problem Is Giving Me A Big Problem by KinSlayer: 3:47pm On May 15, 2017
okay, taking over from the boy with blue eyes
1. find the volume of the cone(blue eyed boy already did this so wont bother)
2. divide the volume by 2(the cone is half filled remember?)
3. use the new volume of the cone(302 in this case) to solve for the height
4.it goes thus 1/3xrxrxpixh = 302
5.1/3 x 36 x 22/7 x h = 302
6. 38(or so) x h = 302
7. h = 302/38
8. h = 8 cm ( or so)
9. tadaaa!!!
10. willing to share the money with blue eyes ;Dokay, taking over from the boy with blue eyes
1. find the volume of the cone(blue eyed boy already did this so wont bother)
2. divide the volume by 2(the cone is half filled remember?)
3. use the new volume of the cone(302 in this case) to solve for the height
4.it goes thus 1/3xrxrxpixh = 302
5.1/3 x 36 x 22/7 x h = 302
6. 38(or so) x h = 302
7. h = 302/38
8. h = 8 cm ( or so)
9. tadaaa!!!
10. willing to share the money with blue eyes

6 Likes

Re: This Mathematics Problem Is Giving Me A Big Problem by hysteriabox(m): 6:11pm On May 15, 2017
Its simple jare
Re: This Mathematics Problem Is Giving Me A Big Problem by monsieurbanky: 6:14pm On May 15, 2017
the answer is not 8 .h is not 8 u can see y I said it gave me tough time it is not as simple as u think
Re: This Mathematics Problem Is Giving Me A Big Problem by monsieurbanky: 6:17pm On May 15, 2017
I strongly need answer to the question u can imagine how someone feel before your students if u can solve it
Re: This Mathematics Problem Is Giving Me A Big Problem by KinSlayer: 6:27pm On May 15, 2017
ok yh, i see that we cant use the same radius anymore silly me
Re: This Mathematics Problem Is Giving Me A Big Problem by Drdreyy: 6:32pm On May 15, 2017
Re: This Mathematics Problem Is Giving Me A Big Problem by Esji80(m): 6:34pm On May 15, 2017
monsieurbanky:
I need someone to help me solve the problem with detail solution
you are to calculate the height of the water in the cone,send your answer here or to my email monsieurbanky200@gmail.com
many thanks
I have seen d question in NGM SSS 1 PAGE 175,, dt 1 na $30 question now. Let me try
Re: This Mathematics Problem Is Giving Me A Big Problem by monsieurbanky: 6:58pm On May 15, 2017
thank God u are seeing the questions itself.the height u are seeing isn't the slant height,rather the real height. when I say the question is tough .take it from me that it is tough .one more thing, this questions is under frustrum in ss1 new general mathematics. the answer u got is not correct.

1 Like

Re: This Mathematics Problem Is Giving Me A Big Problem by FromZeroToHero(m): 7:03pm On May 15, 2017
I should solve it and send it to your email? Na you buy data for me?
Re: This Mathematics Problem Is Giving Me A Big Problem by Olibboy: 7:27pm On May 15, 2017
Ke mi sha ti lowo

1 Like

Re: This Mathematics Problem Is Giving Me A Big Problem by Drdreyy: 7:59pm On May 15, 2017
monsieurbanky:
thank God u are seeing the questions itself.the height u are seeing isn't the slant height,rather the real height. when I say the question is tough .take it from me that it is tough .one more thing, this questions is under frustrum in ss1 new general mathematics. the answer u got is not correct.

I have taken my time to examine the question properly, it's quite technical but I have solved it.



I can't type it here, I have attached a picture showing the solution.


modified @ monsieurbanky

explanation

first step is to find the total volume of the cone., since it's exactly half full of water by volume. it means we divide the volume by 2 to get the volume of the water in the cone. that is the tricky part as one may think it's the height of water in the cone.

next step is to equate the volume of the water in other to get h. but r is also unknown. but if you find the ratio of h/r, we can substitute in the volume equation to get h.

9 Likes

Re: This Mathematics Problem Is Giving Me A Big Problem by fishman(m): 8:17pm On May 15, 2017
I think u shld try similar triangle

1 Like

Re: This Mathematics Problem Is Giving Me A Big Problem by yorex2011: 8:28pm On May 15, 2017
Drdreyy:


I have taken my time to examine the question properly, it's quite technical but I have solved it.



I can't type it here, I have attached a picture showing the solution.


modified @ monsieurbanky

explanation

first step is to find the total volume of the cone., since it's exactly half full of water by volume. it means we divide the volume by 2 to get the volume of the water in the cone. that is the tricky part as one may think it's the height of water in the cone.

next step is to equate the volume of the water in other to get h. but r is also unknown. but if you find the ratio of h/r, we can substitute in the volume equation to get h.


Nicely done
Re: This Mathematics Problem Is Giving Me A Big Problem by KinSlayer: 8:37pm On May 15, 2017
Drdreyy:


I have taken my time to examine the question properly, it's quite technical but I have solved it.



I can't type it here, I have attached a picture showing the solution.


modified @ monsieurbanky

explanation

first step is to find the total volume of the cone., since it's exactly half full of water by volume. it means we divide the volume by 2 to get the volume of the water in the cone. that is the tricky part as one may think it's the height of water in the cone.

next step is to equate the volume of the water in other to get h. but r is also unknown. but if you find the ratio of h/r, we can substitute in the volume equation to get h.

beautiful
so the jinx is that the ratio of h and r in a cone is constant
Re: This Mathematics Problem Is Giving Me A Big Problem by monsieurbanky: 8:45pm On May 15, 2017
I think u deserve a national award u must be a genius thank u all the same now I can go back to my students
Re: This Mathematics Problem Is Giving Me A Big Problem by monsieurbanky: 8:45pm On May 15, 2017
I think u deserve a national award u must be a genius thank u all the same now I can go back to my students
Re: This Mathematics Problem Is Giving Me A Big Problem by monsieurbanky: 8:55pm On May 15, 2017
I have taught them similar triangle before and have also solved previous problems using similar triangle too.I gave them this question as class work together with another question .when they could not do it.I started to solve it thinking it is simple just like others. I was stuck to the board for more than 10mins like a robot. anyone who has taught a large class before would understand what I am talking about I didn't know when I started sweeting.but thank God all of that is over .

1 Like

Re: This Mathematics Problem Is Giving Me A Big Problem by monsieurbanky: 8:58pm On May 15, 2017
Thank u folk.thank u nairaland .I think this forum is good and helpful. and thank God we still have some people in Nigeria who still love education and mathematics

2 Likes

Re: This Mathematics Problem Is Giving Me A Big Problem by BrutusOj(m): 11:06pm On May 15, 2017
monsieurbanky:
I have taught them similar triangle before and have also solved previous problems using similar triangle too.I gave them this question as class work together with another question .when they could not do it.I started to solve it thinking it is simple just like others. I was stuck to the board for more than 10mins like a robot. anyone who has taught a large class before would understand what I am talking about I didn't know when I started sweeting.but thank God all of that is over .
You are a good teacher I must say. It is good you go back to your students to finish any unsolved problem. Some teachers will manipulate and drop the answer there and move to the next topic. Kudos for learning more to teach well,your reward is on Earth. A piece of advice, pls always try to solve some of the questions you intend to use as examples before going to the class. If you encounter this kind of situation again before your students, they will begin to have doubts in you. Try as much as you can to have the most difficult set of questions solved before you attempt them before your students. I still have note on some of the difficult problems I solved when my head was on fire and always make reference to them any time I want to recall some things

2 Likes

Re: This Mathematics Problem Is Giving Me A Big Problem by Esji80(m): 11:17pm On May 15, 2017
monsieurbanky:
I have taught them similar triangle before and have also solved previous problems using similar triangle too.I gave them this question as class work together with another question .when they could not do it.I started to solve it thinking it is simple just like others. I was stuck to the board for more than 10mins like a robot. anyone who has taught a large class before would understand what I am talking about I didn't know when I started sweeting.but thank God all of that is over .
my suggesstion is that you should try and solve questions on the topic that you will teach before taking them to class. I have taught Mathematics in different schools for over 5 years, that is what I normally do. You are really a hardworking teacher.Some teachers will just skip d question.

1 Like

Re: This Mathematics Problem Is Giving Me A Big Problem by BrutusOj(m): 11:17pm On May 15, 2017
Drdreyy:


I have taken my time to examine the question properly, it's quite technical but I have solved it.



I can't type it here, I have attached a picture showing the solution.


modified @ monsieurbanky

explanation

first step is to find the total volume of the cone., since it's exactly half full of water by volume. it means we divide the volume by 2 to get the volume of the water in the cone. that is the tricky part as one may think it's the height of water in the cone.

next step is to equate the volume of the water in other to get h. but r is also unknown. but if you find the ratio of h/r, we can substitute in the volume equation to get h.

Nice one brotherly..
Re: This Mathematics Problem Is Giving Me A Big Problem by ThatCEO: 1:53am On May 16, 2017
I used a slightly more different approach and was able to pinpoint the exact answer.

An engineer will approach the same problem slightly more differently than a mathematician. A mathematician wants to see the step, an engineer wants to see only the results.

Basic assumption I used, the height cannot be 8cm due to uneven distribution of a Cone's size. Height is greater than 8cm.

Secondly, the diameter to height ratio is 0.75.

Thirdly, I introduced step increment. This looks ugly on paper, but you can do it excel, easy stuff.

Fourthly, I found the target vol of 302cm3 and worked out a diameter and height that will hold that much volume.


Fellow Nigerian students follow the guy that solved it before me. He is more brilliant but I am more smarter, and his method will fetch you maximum marks.

But the I have a challenge for drdreyy, what if you are to work out the height from the top, and given a target volume of 403cm3. cheesy cheesy

1 Like

Re: This Mathematics Problem Is Giving Me A Big Problem by myobjective: 9:14am On May 16, 2017
monsieurbanky:
the answer is not 8 .h is not 8
u can see y I said it gave me tough time
it is not as simple as u think

The answer is 8.805cm

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