Find the volume specified. Use 3.14 as the approximate value of x, and round your answer to the nearest tenth.
Find the volume of a feed bin having the shape of a right circular cylinder of radius 9 ft and height 9 ft topped by a right circular cone of the same radius and height 4 ft.
To find the volume of the feed bin, we need to find the volume of the cylinder and the volume of the cone, and then add them together.
The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.
So the volume of the cylinder is V_cylinder = 3.14 * 9² * 9 = 2280.06 ft³.
The volume of a cone is given by the formula V = πr²h/3, where r is the radius and h is the height.
So the volume of the cone is V_cone = 3.14 * 9² * 4/3 = 904.32 ft³.
Now we can find the total volume by adding the volume of the cylinder and the volume of the cone.
V_total = V_cylinder + V_cone = 2280.06 + 904.32 = 3184.38 ft³.
Therefore, the volume of the feed bin is approximately 3184.38 ft³.