# The water tank

The water tank has the shape of a sphere with a radius of 2 m. How many liters of water will fit in the tank? How many kilograms of paint do we need to paint the tank, if we paint with 1 kg of paint 10 m2?

Result

V =  33510.322 l
m =  5.027 kg

#### Solution:

$r=2 \ \text{m} \ \\ V_{1}=\dfrac{ 4 }{ 3 } \cdot \ \pi \cdot \ r^3=\dfrac{ 4 }{ 3 } \cdot \ 3.1416 \cdot \ 2^3 \doteq 33.5103 \ \text{m}^3 \ \\ \ \\ V=V_{1} \rightarrow l=V_{1} \cdot \ 1000 \ l=33.5103216383 \cdot \ 1000 \ l=33510.32164 \ l=33510.322 \ \text{l}$
$S=4 \pi \cdot \ r^2=4 \cdot \ 3.1416 \cdot \ 2^2 \doteq 50.2655 \ \text{m}^2 \ \\ h=10 \ \text{m}^2\text{/kg} \ \\ \ \\ m=S/h=50.2655/10 \doteq 5.0265 \doteq 5.027 \ \text{kg}$

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