Sphere

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

Correct answer:

h =  1086.6 kg/m³

Step-by-step explanation:

$$\begin{gathered} S=12100{\text{cm}}^2\to {\text{m}}^2=12100\mathrm{/}10000{\text{m}}^2=1.21{\text{m}}^2 \\ m=136\text{ kg } \\ S=4\pi r^2 \\ r=\sqrt{{\displaystyle \frac{S}{4\pi }}}=\sqrt{{\displaystyle \frac{1.21}{4\cdot 3.1416}}}\doteq 0.3103\text{ m } \\ V={\displaystyle \frac{4}{3}}\cdot \pi \cdot r^3={\displaystyle \frac{4}{3}}\cdot 3.1416\cdot 0.3103^3\doteq 0.1252{\text{m}}^3 \\ h=m\mathrm{/}V=136\mathrm{/}0.1252=1086.6{\text{kg/m}}^3 \end{gathered}$$

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