The unfilled volume inside the cylinder is determined as 640π cubic units.
Volume of the cylinder
The volume of the cylinder is determined as follows;
V = πr²h
where;
- r is radius of the cylinder given as 8 units
- h is height of the cylinder determined as 15 units
V = π(8²)(15)
V = 960 π cubic units
Volume of cone
V = ¹/₃πr²h
where;
- r is radius of the cone given as 8 units
- h is slant height of the cone determined as 15 units
V = ¹/₃π(8)²(15)
V = 320 π cubic units
Unfilled volume of the cylinder
ΔV = 960 π - 320 π = 640 π cubic units
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