Given the figure of an object consists of a cylinder and a rectangular prism.
We will find the volume of the cylinder using the following formula:
[tex]V=\pi r^2h[/tex]
As shown, the diameter of the base = d = 3 ft
So, the radius = r = d/2 = 3/2 = 1.5 ft
And the height = h = 4 ft
Use π = 3
so, the volume of the cylinder will be as follows:
[tex]V=3*1.5^2*4=27\text{ }ft^3[/tex]
Now, we will find the volume of the rectangular prism using the following formula:
[tex]V=l*w*h[/tex]
As shown, the length = l = 7 ft
The width = w = 4 ft
The height = h = 4 ft
So, the volume of the rectangular prism will be as follows:
[tex]V=7*4*4=112\text{ }ft^3[/tex]
So, the total volume of the object will be =
[tex]27+112=139\text{ }ft^3[/tex]
So, the answer will be V = 139 ft³
