Answer:
The shape in question is composed of a cylinder and a cuboid. Let's calculate the volume of each component separately and then add them together to find the total volume.
To find the volume of a cylinder, we use the formula V = πr²h, where V represents the volume, r is the radius, and h is the height. Given that the radius of the cylinder is 1.5m and the height is 2.3m, we can substitute these values into the formula to calculate the volume of the cylinder.
V_cylinder = π(1.5m)²(2.3m) = 10.38m³
Now let's move on to the cuboid. The volume of a cuboid is calculated by multiplying its length, width, and height. In this case, the length is 5m, the width is 3m, and the height is 4m.
V_cuboid = 5m × 3m × 4m = 60m³
Finally, to find the total volume of the shape, we add the volumes of the cylinder and the cuboid together.
Total Volume = V_cylinder + V_cuboid = 10.38m³ + 60m³ = 70.38m³
Therefore, the total volume of the shape made up of the cylinder and the cuboid is 70.38 cubic meters.