Ice cream in cone

In the ice cream cone with a diameter of 5.7 cm is 0.8 dl of ice cream.

Calculate the depth of the cone.

Correct result:

h =  9.41 cm

Solution:

V=13πr2h=13π(D/2)2h h=3Vπ(D/2)2=380π(5.7/2)2=9.41 cmV = \dfrac13\pi r^2 h = \dfrac13\pi (D/2)^2 h \ \\ h = \dfrac{3V}{ \pi (D/2)^2} = \dfrac{3 \cdot 80}{ \pi (5.7/2)^2} = 9.41 \ \text{cm}



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