Cone Volume And Side Are From Axial Section Area - Free Math Help

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You are using an out of date browser. It may not display this or other websites correctly.You should upgrade or use an alternative browser. Cone volume and side are from axial section area

• Thread starter Merkatih
• Start date Mar 10, 2022

M

Merkatih

New member

Joined Feb 13, 2022 Messages 8 Hi smart people! i have been on this exercise for 2 hours and can’t seem to get the right answer. Please help or just have fun buy figuring it out. there is a cone whose axial section is a right triangle and the triangle’s area is 9sqm. what it the side area and volume of that cone? thanks in advance D

Deleted member 4993

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Merkatih said: Hi smart people! i have been on this exercise for 2 hours and can’t seem to get the right answer. Please help or just have fun buy figuring it out. there is a cone whose axial section is a right triangle and the triangle’s area is 9sqm. what it the side area and volume of that cone? thanks in advance Click to expand...

As posted the above problem cannot be solved. Post an image of the given problem. Please show us what you have tried and exactly where you are stuck. Please follow the rules of posting in this forum, as enunciated at: READ BEFORE POSTING​ Please share your work/thoughts about this problem. M

Merkatih

New member

Joined Feb 13, 2022 Messages 8

Subhotosh Khan said: As posted the above problem cannot be solved. Post an image of the given problem. Please show us what you have tried and exactly where you are stuck. Please follow the rules of posting in this forum, as enunciated at: READ BEFORE POSTING​ Please share your work/thoughts about this problem. Click to expand...

Unfortunately the problem is in Estonian hence posting a picture about it won’t helo. I have translated all given information. i assumed the triangle would be equilateral which would mean that the sides would be 3m, 3m and 3√2, hence radius 3√2/2 but that didn’t give the right answer. according to the book the side area should be 9√2pi sqm2 and volume 9pi m3

Dr.Peterson

Elite Member

Joined Nov 12, 2017 Messages 16,890

Merkatih said: there is a cone whose axial section is a right triangle and the triangle’s area is 9sqm. what it the side area and volume of that cone? Click to expand...

Is it a right circular cone? Or something else (like an oblique elliptical cone)? From the area of the section, can you find the height and diameter of the cone? M

Merkatih

New member

Joined Feb 13, 2022 Messages 8

Dr.Peterson said: Is it a right circular cone? Or something else (like an oblique elliptical cone)? From the area of the section, can you find the height and diameter of the cone? Click to expand...

It doesn’t specify.. i assumed it would be right circular cone and the triangle would be equilateral which would mean that the sides would be 3m, 3m and 3√2, hence radius 3√2/2 but that didn’t give the right answer. according to the book the side area should be 9√2pi sqm2 and volume 9pi m3

Dr.Peterson

Elite Member

Joined Nov 12, 2017 Messages 16,890

Merkatih said: It doesn’t specify.. i assumed it would be right circular cone and the triangle would be equilateral which would mean that the sides would be 3m, 3m and 3√2, hence radius 3√2/2 but that didn’t give the right answer. according to the book the side area should be 9√2pi sqm2 and volume 9pi m3 Click to expand...

Yes, we can probably assume it's a right circular cone; but the triangle can't be equilateral if it has a 90 degree angle. Surely (from your numbers) you meant a right isosceles triangle? The area of the triangle you describe is not 9 m^2! Think just a bit more. ("Sqm2" is not a valid unit.) Then please show us your actual work, rather than just a general description, if you still get a wrong answer. (But thanks for giving the answer you are comparing yours to -- sometimes the problem is that the given answer is wrong, but these answers are indeed correct.) M

Merkatih

New member

Joined Feb 13, 2022 Messages 8

Dr.Peterson said: Yes, we can probably assume it's a right circular cone; but the triangle can't be equilateral if it has a 90 degree angle. Surely (from your numbers) you meant a right isosceles triangle? The area of the triangle you describe is not 9 m^2! Think just a bit more. ("Sqm2" is not a valid unit.) Then please show us your actual work, rather than just a general description, if you still get a wrong answer. (But thanks for giving the answer you are comparing yours to -- sometimes the problem is that the given answer is wrong, but these answers are indeed correct.) Click to expand...

So I found my mistake which was very primitive - triangle area formula. thanks for help

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