Circumference 30761

There is 0.3 dl of strawberry ice cream in the cone-shaped ice cream cone. Calculate the depth of the cornet if its circumference is 5.6 cm.

Correct answer:

h =  36.0642 cm

Step-by-step explanation:

$$\begin{gathered} V=0.3\text{dl}\to {\text{cm}}^3=0.3\cdot 100{\text{cm}}^3=30{\text{cm}}^3 \\ o=5.6\text{cm} \\ o=2\pi r \\ r=o/(2\pi )=5.6/(2\cdot 3.1416)\doteq 0.8913\text{cm} \\ S=\pi \cdot r^2=3.1416\cdot 0.8913^2\doteq 2.4955{\text{cm}}^2 \\ V=\frac{1}{3}\cdot S\cdot h \\ h=3\cdot V/S=3\cdot 30/2.4955=36.0642\text{cm} \end{gathered}$$

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