Answer:
Height: 8.471
Volume: 2245.641cm3
Step-by-step explanation:
To solve this problem we need to find the volume of the cone, then the volume of the semi sphere, and then, sum all together.
To obtain the volume of the cone, we need to focus our attention in the triangle that already was given to us, since its height is the same as the height of the cone.
We can use the tan(26,7) since it relates the radius of the cone, and its height.
This gives us. h=9/tan(27,9)= 8.471 cm
The volume of the cone is then. 718.629cm3
The volume of the spehere is 1527.012 cm3
FInally the volumen of the toy is the sum of both volumes previously obtained:
2245.641cm3.
Refer the attached picture for a more detailed procedure.
