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# A Spherical water tank is of 7.7m radius. How many liters of water can it contain.

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i need to get the answer of this question today today its the test, plz someone

Guest Oct 17, 2014

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Hi Melody,

I copy it from somewhere.

heureka  Oct 20, 2014
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The volume of the tank is given by

V = (4/3)pi(r3)   where r is the radius

So we have

V = (4/3)pi(7.7m)3  =  about 1912.320958 m3

And 1 m3 = 1000L

So  1912.320958 x 1000 = about 1,912,321 L

CPhill  Oct 17, 2014
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A Spherical water tank is of 7.7m radius. How many liters of water can it contain

I. The Volume of the Sphere in m^3:

$$\small{\text{  \begin{array}{rcl} V &=& \frac{4}{3}\pi r^3 \\\\ V &=&\frac{4}{3}\pi (7.7)^3\\\\ V &=&\frac{4}{3}\pi * 456.533\ m^3\\\\ V &=& 1912.32095856 \ m^3 \end{array}  }}$$

II. The Volume of the Sphere in liters:

$$\small{\text{  1\ m^3 = 1000\ liters  }}$$

$$\small{\text{  V=1912.32095856\not{m^3} *\frac{1000\ liters}{1\ \not{m^3}}=1912320.95856\ l  }}$$

heureka  Oct 17, 2014
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Volume is (4/3)*pi*radius3 and a litre is 10-3m3

So Volume = (4/3)*pi*7.73 m3 ≈ 1912 m3 = 1.912*106L

Hmm.  Plenty of answers.  Luckily they're all the same!

.

Alan  Oct 17, 2014
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Alan is correct....let's put this one "in the tank."

CPhill  Oct 17, 2014
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Hi Heureka,

Did you draw that picture or did you copy it from somewhere?

If you drew it I would like to know how.  I use Geogebra mostly but I don't think that it does ellipses.

Melody  Oct 17, 2014
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thank you all very much

Guest Oct 17, 2014
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.Melody, Geogebra is certainly able to draw ellipses:

Alan  Oct 17, 2014
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Thanks Alan.

Melody  Oct 18, 2014
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