Hemisphere-shaped 7829

The ice cream maker sold 6l of ice cream a day. How many hemisphere-shaped portions with a diameter of 6 cm could he make from the ice cream sold?

Correct answer:

n =  106

Step-by-step explanation:

$$\begin{gathered} V=6\text{l} \\ D=6\text{cm}\to \text{dm}=6:10\text{dm}=0.6\text{dm} \\ r=D/2=\frac{3}{5}/2=\frac{3}{5\cdot 2}=\frac{3}{10}=0.3\text{dm} \\ {V}_1=\frac{4}{3}\cdot \pi \cdot r^3/2=\frac{4}{3}\cdot 3.1416\cdot 0.3^3/2\doteq 0.0565\text{l} \\ {n}_1=V/V_1=6/0.0565\doteq 106.1033 \\ n=\lfloor n_1\rfloor =\lfloor 106.1033\rfloor =106 \end{gathered}$$

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