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.

Algebra.Com
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)   (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)   (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 .

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

= 7.937 to 3 decimal places

-----------------------------------------------------------------------

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


Answer by Alan3354(69443)   (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.
------------
Is "half-filled" by volume?
or by depth?

RELATED QUESTIONS

A conical tank is 12 feet deep and the diameter of the top is 8 feet. If the tank is... (answered by RAY100)
The base of a conical vessel is 1,000 cm^2. How many liters of water can it contain if it (answered by ikleyn)
Question: A conical tank is 40 feet deep and the diameter of the top is 12 feet. If the... (answered by scott8148)
CALCULUS(MAXIMA AND MINIMA): Water is flowing into a conical vessel 24cm deep and 12cm... (answered by Alan3354)
a conical vessel 11cm high having a top of 50 mm diameter is filled completely to its rim (answered by Cromlix)
If a cylinder lies on its side and is partially filled with liquid, what it the formula... (answered by stanbon)
a vessel full of water weights 40 kg. If it is half filled, its weights is 30 kg. The... (answered by josgarithmetic)
A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of (answered by psbhowmick)
a block of ice 8in by 5in is to be melted in an open conical pot 10 in deep and with... (answered by ikleyn)