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

Hi Melody,

I copy it from somewhere.

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

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:

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

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

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 is correct....let's put this one "in the tank."

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.  

thank you all very much

.Melody, Geogebra is certainly able to draw ellipses:

Thanks Alan.