I have a bin that has $24$x$24$ cm and is $34$ cm deep. How much water could it hold? It's also in a cone-ish shape, the bottom part is $20$x$20$ cm. If possible answer considering the cone shape, if not then it's okay.
Asked
Active
Viewed 49 times
0
-
Welcome to MSE! Try using mathjax to make your question more presentable. – For the love of maths Dec 28 '17 at 17:28
-
Square tops and bottoms? – Doug M Dec 28 '17 at 17:29
-
1If you really have such a bin, you could just fill it with water, then empty the water into containers of known volume, and get the answer. So, I suspect you are lying about having such a bin. – Gerry Myerson Dec 28 '17 at 18:21
1 Answers
2
A "cone-ish" shape is a fustrum.
But this sounds like a truncated pyramid. Either way the formula is about the same.
$\frac 13 (S^2 + Ss + s^2) h = \frac 13 (24^2 + 24\cdot 20 +20^2)34 = 16,501\ cm^3 = 16.5$ liters
Doug M
- 57,877
-
@Catia - you can check this answer by filling your bin with water and finding out how much weight this added. Or use a measuring cup. It's a lot of water. – Hans Engler Dec 28 '17 at 17:35
-
-
1
-
1If it is made out of net, then the container can't hold any water (which is what the question asks!) However, if you want to test this "experimentally, but a large trash bag inside the container and fill that. – Doug M Dec 28 '17 at 17:49