To find the total volume of the toy model, we need to find the volumes of the cone, cylinder, and hemisphere and then add them together.
The volume of a cone is given by the formula V = 1/3Ï€r^2h, where r is the radius of the base and h is the height. In this case, the given volume of the cone is 5x, so we can set up the equation:
5x = 1/3Ï€r^2h
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius of the base and h is the height. In this case, the height of the cylinder is 2r, so we can substitute that into the formula:
V = πr^2(2r)
V = 2Ï€r^3
The volume of a hemisphere is given by the formula V = 2/3Ï€r^3, where r is the radius of the hemisphere. In this case, the radius is the same as the radius of the cylinder, so we can substitute that into the formula:
V = 2/3Ï€r^3
Now we can add the volumes together:
Total volume = 5x + 2Ï€r^3 + 2/3Ï€r^3
We cannot simplify this any further without knowing the value of r.