Cone-shaped 8170

How many cone-shaped cones will we have to take to fill 20 l of creams (to the brim) if the cone has an inner base diameter of 6 cm and a height of 8 cm. Make a drawing, and write the answer.

Correct answer:

n =  265

Step-by-step explanation:

$$\begin{gathered} V=20\text{l}\to {\text{cm}}^3=20\cdot 1000{\text{cm}}^3=20000{\text{cm}}^3 \\ D=6\text{cm} \\ h=8\text{cm} \\ r=D/2=6/2=3{\text{cm}}^2 \\ {V}_1=\frac{1}{3}\cdot \pi \cdot r^2\cdot h=\frac{1}{3}\cdot 3.1416\cdot 3^2\cdot 8\doteq 75.3982{\text{cm}}^3 \\ n=V/V_1=20000/75.3982=265 \end{gathered}$$

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