The reservoir

The reservoir has the shape of a sphere with a diameter of 7.5 m. How many hectoliters can max fit in a reservoir?

Correct result:

V =  2208.9 hl

Solution:

$$\begin{gathered} D=7.5\text{ m } \\ r=D\mathrm{/}2=7.5\mathrm{/}2={\displaystyle \frac{15}{4}}=3.75\text{ m } \\ {V}_1={\displaystyle \frac{4}{3}}\cdot \pi \cdot r^3={\displaystyle \frac{4}{3}}\cdot 3.1416\cdot 3.75^3\doteq 220.8932{\text{m}}^3 \\ V=V_1\to \text{ hl}=V_1\cdot 10\text{ hl}=220.8932\cdot 10\text{ hl}=2208.9\text{ hl} \end{gathered}$$

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