The amount of three-dimensional space enclosed by a closed surface. The volume of the object is 97.6 in³.
What is volume?
The amount of three-dimensional space enclosed by a closed surface is expressed as a scalar quantity called volume.
The volume of the object is the difference between the volume of the cylinder and the volume of the cone. Therefore, the volume of the object can be written as,
The Volume of object = Volume of cone - Volume of cylinder
[tex]\text{Volume of Object} = \pi r^2h_{cylinder} - \dfrac13 \pi r^2h_{cone}[/tex]
Since π and radius of the cone and cylinder are common, therefore the equation can be written as,
[tex]\text{Volume of Object} = \pi r^2h_{cylinder} - \dfrac13 \pi r^2h_{cone}\\\\\\\text{Volume of Object} = \pi r^2(h_{cylinder} - \dfrac13 h_{cone})[/tex]
As it is given that the radius of the figure is 2 inches, and the height of the cylinder is 8 inches while the height of the cone is 0.7 inches, therefore, the volume can be written as,
[tex]\text{Volume of Object} = \pi \times (2^2) \times (8 - \dfrac{0.7}{3} ) = 97.6\rm\ in^3[/tex]
Thus, the volume of the object is 97.6 in³.
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