The volume of the composite figure consisting of a cylinder and a rectangular prisms to the nearest tenth is 1209.1ft³.
What is a cylinder and a rectangular prism?
A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi ( π = 3.1415 )
A rectangular prism is simply a three-dimensional solid shape which has six faces that are rectangles.
The volume of a rectangular prism is expressed as;
V = w × h × l
Where w is width, l is length and h is the height
From the diagram, the figure consist of a cylinder and a rectangular prism.
For the cylinder;
- Radius r = 4ft
- Height h = 4ft
- Volume of the cylinder V_c = ?
For the rectangular prism;
- Width w = 14ft
- Length l = 12ft
- Height h = 6ft
- Volume of the rectangular prism V_r = ?
Volume of the cylinder.
V_c = π × r² × h
V_c = 3.1415 × (4ft)² × 4ft
V_c = 3.1415 × 16ft² × 4ft
V_c = 201.1ft³
Volume of the rectangular prism.
V_r = w × h × l
V_r = 14ft × 6ft × 12ft
V_r = 1008ft³
Now, the volume of the composite figure will be;
V = V_c + V_r
V = 201.1ft³ + 1008ft³
V = 1209.1ft³
Therefore, the volume of the composite figure consisting of a cylinder and a rectangular prisms to the nearest tenth is 1209.1ft³.
Learn more on volume of cylinder here: brainly.com/question/16788902
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