Answer:
8.6 cm (1 d.p.)
Explanation:
The given three-dimensional object is made from a cylinder and a hemisphere. The radius of the object is 8 cm, and its volume is 2684π/3 cm³.
The equation for the volume of a cylinder is πr²h, where r is the radius and h is the height.
The equation for the volume of a hemisphere is half the volume of a sphere. Therefore, the volume of a hemisphere is 2πr³/3, where r is the radius.
To determine the height of the cylinder (h), set the sum of the two volume equations to the given volume, substitute r = 8, and solve for h:

Therefore, the height of the cylinder is 8.6 cm (1 d.p.).