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The volume of the cone is 58.875 cubic inches. The volume of the cylinder is 176.625 cubic inches. The volume of the cylinder is three (3) times the volume of the cone.
The volume of a cone is equal to one-third (1/3) of the area of the circular base as well as the height product.
Mathematically, the volume of a cone can be expressed as:
[tex]\mathbf{V_{cone} = \pi r ^2 \dfrac{h}{3} }[/tex]
where;
[tex]\mathbf{V_{cone} = 3.14 \times (2.5 ^2)\times \dfrac{9}{3} }[/tex]
[tex]\mathbf{V_{cone} = 3.14 (2.5 ^2)\times 3 }[/tex]
[tex]\mathbf{V_{cone} =58.875\ inches ^3}[/tex]
The volume of a cylinder implies the amount of quantity of material being carried in the cylinder. The volume of the cylinder can be expressed as:
V = πr²h
V = π(2.5)² × 9
V = 3.14 × (2.5)² × 9
V = 176.625 inches³
The volume of the cylinder is three times the volume of the cone because:
[tex]\mathbf{=\dfrac{176.625 \ in^3}{ 58.875\ in^3}}[/tex]
= 3
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