# Sphere

The surface of the sphere is 12100 cm2, and weight is 136 kg. What is its density?

Result

h =  34362.7 kg/m3

#### Solution:

$S = 12100 \ cm^2 = 12100 / 100000 \ m^2 = 0.121 \ m^2 \ \\ m = 136 \ kg \ \\ \ \\ S = 4 \ \pi r^2 \ \\ \ \\ r = \sqrt{ \dfrac{ S }{ 4 \pi } } = \sqrt{ \dfrac{ 0.121 }{ 4 \cdot \ 3.1416 } } \doteq 0.0981 \ m \ \\ \ \\ V = \dfrac{ 4 }{ 3 } \cdot \ \pi \cdot \ r ^3 = \dfrac{ 4 }{ 3 } \cdot \ 3.1416 \cdot \ 0.0981 ^3 \doteq 0.004 \ m^3 \ \\ \ \\ h = m/V = 136/0.004 \doteq 34362.6809 = 34362.7 \ kg/m^3$

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