Your graphics and description made things so clear I’m almost embarrassed how long I’ve been trying to derive the general formula. The reason I dived into the weeds on the frustum volume is I was given the formula for it in a calculus problem as V = H/3(A +a + {Aa}^.5), which still seems inherently wrong as there’s no subtraction in it. Any clues or is this a misprint?
@@jeffhenderson3673 Hi Jeff! Very nice to see this comment. The derivation comes from the set up I provided. You do need one additional item to complete and get the formula you mentioned (btw, it is correct). The additional piece is that you need to know that (Area of small base / Area of big base) = (height of small / height of total)^2. Once you have this you can rearrange and substitute into what I provided in the video. I'm sorry as I didn't do this as the question that was posed to me originally was why 1/3 in the formula and not the derivation of the whole thing. Makes me think that I should have just finished the set up. Now of course the added information I gave you, you might ask why? :) ... that is another proof that we would need to go through ... happy learning! Hope this helps.
Welcome to 1mjourney.com .... spread the site with your friends. Visit 1mjourney.com and hit on Math to find the entire High School Math in videos. Cheers.
@@reynaldocabido2058 Thanks so much for your reply. With the additional information and your video I’ll finally be able to derive the equation and move on (I’m relearning Calculus on my own, at a very slow pace, in which I take nothing for granted and stop to understand every concept before proceeding. The AI’s have been great for general questions but they are like having an after-hours discussion with a slightly autistic, self-confident professor who is wrong 15% of the time. Your videos are great. Thanks again.
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Your graphics and description made things so clear I’m almost embarrassed how long I’ve been trying to derive the general formula. The reason I dived into the weeds on the frustum volume is I was given the formula for it in a calculus problem as V = H/3(A +a + {Aa}^.5), which still seems inherently wrong as there’s no subtraction in it. Any clues or is this a misprint?
I have to tell you, this issue is tying the AI, Claude, into knots.
@@jeffhenderson3673 Hi Jeff! Very nice to see this comment. The derivation comes from the set up I provided. You do need one additional item to complete and get the formula you mentioned (btw, it is correct). The additional piece is that you need to know that (Area of small base / Area of big base) = (height of small / height of total)^2. Once you have this you can rearrange and substitute into what I provided in the video. I'm sorry as I didn't do this as the question that was posed to me originally was why 1/3 in the formula and not the derivation of the whole thing. Makes me think that I should have just finished the set up. Now of course the added information I gave you, you might ask why? :) ... that is another proof that we would need to go through ... happy learning! Hope this helps.
You got a new subscriber! Thank you so much!
Welcome to 1mjourney.com .... spread the site with your friends. Visit 1mjourney.com and hit on Math to find the entire High School Math in videos. Cheers.
@@reynaldocabido2058 Thanks so much for your reply. With the additional information and your video I’ll finally be able to derive the equation and move on (I’m relearning Calculus on my own, at a very slow pace, in which I take nothing for granted and stop to understand every concept before proceeding. The AI’s have been great for general questions but they are like having an after-hours discussion with a slightly autistic, self-confident professor who is wrong 15% of the time. Your videos are great. Thanks again.