Let us first note down all the information's that are given in the question.
Radius of the snow cone = 4 inches
Height of the snow cone = 6 inches
Diameter of the bubble gum = 0.8 inches
Then
Radius of the bubble gum = 0.4 inches
Now
Volume of the come = 1/3 * pi * (radius)2 * height
= 1/3 * 3.14 * (4) ^2 * 6
= 3.14 * 16 * 2
= 100.48 cubic inches
Again
Volume of the sphere = (4/3) * pi * (radius)^3
= (4/3) * 3.14 * (0.4)^3
= (4/3) * 3.14 * 0.064
= 0.2679 cubic inches
Volume of the cone
that can be filled with flavored ice = 100.48 - 0.27
= 100.21 cubic inches
The correct option among all the options that are given in the question is option "d".