SOLUTION: A conical vessel is 10cm deep. if it is half-filled with water, use tables to find the depth of the liquid to 2 significant figures.

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Question 1205513: A conical vessel is 10cm deep. if it is half-filled with water, use tables to find the depth of the liquid to 2 significant figures.
Found 3 solutions by ikleyn, greenestamps, Alan3354:
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.

a TWIN problem was just solved at this forum several days ago. See the link

https://www.algebra.com/algebra/homework/playground/test.faq.question.1205486.html



Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


"Use tables"...?

The ratio of the volume of water to the volume of the vessel is 1:2. By a powerful general principle regarding similar figures, the ratio of corresponding linear measurements in the two figures is 1%3Aroot%283%2C2%29.

The depth of the vessel is 10cm; the depth of the water in cm is

10%2Froot%283%2C2%29 = 7.937 to 3 decimal places

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Further notes....

In case you are not familiar with the basic principle here....

If the scale factor (ratio of linear measurements) between two similar figures is A:B, then the ratio of corresponding area measurements is A^2:B^2, and the ratio of corresponding volume measurements is A^3:B^3.

In this problem, given 1:2 as the ratio of volumes, the ratio of depths (a linear measurement) is 1%3Aroot%283%2C2%29

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A conical vessel is 10cm deep. if it is half-filled with water, use tables to find the depth of the liquid to 2 significant figures.
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Is "half-filled" by volume?
or by depth?