Answer:
Cylinder height = 10
Semi-circle height = 3
Cone height = 4
Explanation:
The height of the cylinder is always going to be the long side. 6 is the diameter of its circle. Here is a list of variables:
Diameter, D = 6
Radius, r = 3
Slant height of cone, c = 5
To find the height of the cylinder, we will need to find the height's of the cone and semi-circle:
CONE (see image attached)
a² + b² = c²
3² + h² = 5²
h² = 25 - 9
h = √16
h = 4
SEMI-CIRCLE
h = radius
h = 3
CYLINDER
Cylinder height = total h - semi-circle h - cone h
h = 17 - 3 - 4
h = 10
I'm not sure if you're trying to solve for volume, so I'll end it here LOL. Hope this helps and have a great evening!