Volleyball - air in ball

The radius of a volleyball is 10 cm. Calculate how many liters of air fit into an ideal inflated ball. Calculate how many square meters of leather material you need to make it.

Final Answer:

V =  4.1888 l
S =  0.1257 m²

Step-by-step explanation:

$$\begin{gathered} r=10\text{cm} \\ {V}_1=\frac{4}{3}\cdot \pi \cdot r^3=\frac{4}{3}\cdot 3.1416\cdot 10^3\doteq 4188.7902{\text{cm}}^3 \\ V=V_1\to \text{l}=V_1:1000\text{l}=4188.7902:1000\text{l}=4.189\text{l}=4.1888\text{l} \end{gathered}$$

$$\begin{gathered} S_1=4\pi \cdot r^2=4\cdot 3.1416\cdot 10^2\doteq 1256.6371{\text{cm}}^2 \\ S=S_1\to {\text{m}}^2=S_1:10000{\text{m}}^2=1256.6371:10000{\text{m}}^2=0.126{\text{m}}^2=0.1257{\text{m}}^2 \end{gathered}$$

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