ANSWER
V = 366 in³
EXPLANATION
This object is composed of two cylinders. The total volume of the object is the sum of the volumes of the cylinders.
As stated in the problem, the volume of a cylinder is given by,
[tex]V=\pi r^2h[/tex]
Where r is the radius of the base and h is the height of the cylinder.
For the tallest cylinder, the diameter is 6 in - so the radius is 3 in, and the height is 8 in. Using 3 for π, the volume is,
[tex]V_1=3\cdot3^2in^2\cdot8in=216in^3[/tex]
For the shortest cylinder, the diameter is 10 in, so the radius is 5 in, and the height is 2 in. The volume of this cylinder is,
[tex]V_2=3\cdot5^2in^2\cdot2in=150in^3[/tex]
And the total volume of the object is,
[tex]V=V_1+V_2=216in^3+150in^3=366in^3[/tex]
Hence, the volume of the object is 366 cubic inches.
