anonymous 28
New member
- Joined
- May 12, 2013
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- 5
How do i measure the exact volume of water in a bucket (a tapered cone shaped) especially when i do not know d exact height assuming if it is a perfect cone? Please advise.
If it is a right cone (which is what I suspect you mean by a perfect cone), you can use the Pythagorean Theorem to find the height. Measure the diameter of the base. Divide that number by 2 to calculate the radius r. Now measure the slant height s from the tip of the cone along its side to the base. The vertical height of the cone is:How do i measure the exact volume of water in a bucket (a tapered cone shaped) especially when i do not know d exact height assuming if it is a perfect cone? Please advise.
If it is a right cone (which is what I suspect you mean by a perfect cone), you can use the Pythagorean Theorem to find the height. Measure the diameter of the base. Divide that number by 2 to calculate the radius r. Now measure the slant height s from the tip of the cone along its side to the base. The vertical height of the cone is:
\(\displaystyle h = \sqrt{s^2 - r^2}.\)
Is this a real cone? In that case, you measure things. Take a string. Hold one end at any point along the circumference of the base and pull it taut to the tip. Now measure that length of string against a ruler. That is the slant height. If you have calipers, you can measure it more exactly.What if the length of the slant from d tip of cone to its side base is not known.
Is this a real cone? In that case, you measure things. Take a string. Hold one end at any point along the circumference of the base and pull it taut to the tip. Now measure that length of string against a ruler. That is the slant height. If you have calipers, you can measure it more exactly.
If you are dealing with an imaginary cone, you need information. What pieces of information do you have?
I have only the measurement of the diameter and the height of the bucket.
How do i measure the exact volume of water in a bucket (a tapered cone shaped) especially when i do not know d exact height assuming if it is a perfect cone? Please advise.
If you DO have the diameter and also the height,I have only the measurement of the diameter and the height of the bucket.
anonymous 28, which diameter do you have the measurement of, the base of the bucket, or the opening of the bucket?I have only the measurement of the diameter and the height of the bucket.
Now you've got the height? You originally said you didn't: are you fooling around?
Anyway, if your bucket is a cut-off cone, then that's not enough information.
WHY didn't you say this in your FIRST post?
Let base RADIUS = a and top RADIUS = b and height = h
V = pi*h(a^2 + 2ab + b^2) / 3
Next time you post a problem, please be COMPLETE.
WHY didn't you say this in your FIRST post?
Let base RADIUS = a and top RADIUS = b and height = h
V = pi*h(a^2 + 2ab + b^2) / 3
Next time you post a problem, please be COMPLETE.