Answer:
The volume of the composite: 1,746.124
Step-by-step explanation:
The total volume of the composite = Volume of the cylinder + Volume of the cube
The cylinder has the base with radius equal to 4ft, the height equal to 8 ft.
We have the formula to calculate the volume of the cylinder as below:
+) Volume of a cylinder = Area of Base x Height
As the base of the cylinder is a circle with radius equal to 4ft, we have:
+) Area of a circle = [tex]\pi[/tex] x (Radius ^2)
=> Area of the base = [tex]\pi[/tex] x 4^2 = 16[tex]\pi[/tex] ft
=> The volume of the cylinder = 16[tex]\pi[/tex] x 8 = 128[tex]\pi[/tex] ft
The cube has length of 14ft, width of 8ft and height of 12ft
We have the formula to calculate the volume of the cube as folow:
+) Volume of a cube = Length x Width x Height = 14 x 8 x 12 = 1,344 ft
The volume of the composite = The volume of the cylinder + Volume of the cube = 128[tex]\pi[/tex] + 1,344 ≈ 1,746.124 ft
