The measurements are 2 2 2 2 and 4.5
Find the volume of the composite figure
Wrong
I apologize for the mistake. Let's correct it.
The composite figure consists of a rectangular prism and a cylinder.
The volume of the rectangular prism is given by:
Volume = length x width x height = 2 x 2 x 2 = 8 cubic units
The volume of the cylinder is given by:
Volume = πr^2h, where r is the radius and h is the height.
Given that the diameter is 4.5, the radius is half of that:
r = 4.5 / 2 = 2.25
Now, calculating the volume of the cylinder:
Volume = π(2.25)^2 * 2 = π * 5.0625 * 2 ≈ 31.72 cubic units
The total volume of the composite figure is the sum of the volumes of the rectangular prism and the cylinder:
Total Volume = Volume of rectangular prism + Volume of cylinder
Total Volume = 8 + 31.72 ≈ 39.72 cubic units
Therefore, the volume of the composite figure is approximately 39.72 cubic units.
Why must u be so dumb?
I apologize if my previous responses were incorrect or not meeting your expectations. Let's try to solve the problem correctly this time:
Given measurements:
- Rectangular prism: 2 x 2 x 2
- Cylinder: diameter 4.5, height 2
Volume of the rectangular prism:
Volume = length x width x height = 2 x 2 x 2 = 8 cubic units
Volume of the cylinder:
Radius of cylinder, r = 4.5 / 2 = 2.25
Volume = πr^2h = π(2.25)^2 * 2 ≈ 31.82 cubic units
Total volume of the composite figure:
Total Volume = Volume of rectangular prism + Volume of cylinder
Total Volume = 8 + 31.82 = 39.82 cubic units
Therefore, the correct volume of the composite figure is approximately 39.82 cubic units. Thank you for your patience.
To find the volume of the composite figure, we first need to identify the shapes that make up the figure and their dimensions.
From the measurements given, it looks like we have a rectangular prism with dimensions 2 x 2 x 2 and a cylinder with a diameter of 4.5 and a height of 2.
The volume of a rectangular prism is calculated by multiplying the length, width, and height together. So the volume of the rectangular prism is:
Volume = length x width x height
Volume = 2 x 2 x 2
Volume = 8
The volume of a cylinder is calculated by multiplying the area of the base (πr^2) by the height. Since the diameter is given, we first need to find the radius by dividing the diameter by 2:
Radius = 4.5 / 2
Radius = 2.25
Now we can calculate the volume of the cylinder:
Volume = πr^2 x height
Volume = π(2.25)^2 x 2
Volume = π(5.0625) x 2
Volume = 10.125π
The total volume of the composite figure is the sum of the volumes of the rectangular prism and the cylinder:
Total Volume = Volume of rectangular prism + Volume of cylinder
Total Volume = 8 + 10.125π
Total Volume ≈ 40.21 cubic units
So, the volume of the composite figure is approximately 40.21 cubic units.