The volume of cone filled with flavored ice is given by 1/3(3.14)(2)²(3) - 4/3 (3.14) (0.25)³ which is equal to 11.90 cubic inches.
What is the volume?
A volume of an object is defined as the amount of space occupied by a three-dimensional figure as measured in cubic units.
Now given that,
radius of a snow cone, rc = 2 inches,
and the height of the cone, hc = 3 inches
hence, volume of snow cone,
Vc = 1/3(π*rc²*hc)
⇒Vc = 1/3(3.14)(2)²(3)
And given diameter of cylinder bubble = 0.5 inches
So, radius of cylinder bubble, rb = 0.25 inches
Hence, volume of cylinder bubble
Vb = 4/3 π rb³
⇒Vb = 4/3 (3.14) (0.25)³
Therefore,the volume of the cone that can can be filled with flavored ice
V = Vc - Vb
⇒V = 1/3(3.14)(2)²(3) - 4/3 (3.14) (0.25)³
or, V = (3.14/3)(12 - 0.625)
or, V = (3.14*11.375)/3
or, V = 11.90 cubic inches
Hence,The volume of cone filled with flavored ice is given by 1/3(3.14)(2)²(3) - 4/3 (3.14) (0.25)³ which is equal to 11.90 cubic inches.
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