Use the image to answer the question.

To find the total volume of the toy model, we need to add the volumes of the cone, cylinder, and hemisphere.

The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the base radius and h is the height.

We are given that the volume of the cone is 5x, so we can write:

5x = (1/3)πr^2(2r)

Simplifying this equation, we have:

15x = πr^3

Now, the volume of a cylinder is given by the formula V = πr^2h, where r is the base radius and h is the height.

We are given that the height of the cylinder is 2r, so we can write:

V_cylinder = πr^2(2r) = 2πr^3

Finally, the volume of a hemisphere is given by the formula V = (2/3)πr^3, where r is the radius.

We have a hemisphere with the same radius as the cylinder, so we can write:

V_hemisphere = (2/3)πr^3

To find the total volume of the toy model, we add the volumes of the cone, cylinder, and hemisphere:

Total volume = V_cylinder + V_cone + V_hemisphere
= 2πr^3 + 5x + (2/3)πr^3

Combining like terms, we have:

Total volume = (2π/3)r^3 + 5x + (2/3)πr^3

To simplify further, we can factor out (2/3)πr^3 and combine it with the other term:

Total volume = [(2π/3)r^3 + (2/3)πr^3] + 5x
= (4/3)πr^3 + 5x

Therefore, the total volume of the toy model is (4/3)πr^3 + 5x.

None of the given options match this expression, so none of the provided answers are correct.