Answer:
67.0 cm^3
Explanation:
The volume of the cylinder is given by the formula ...
V = πr^2·h
The volume of the hemisphere is given by the formula ...
V = (2/3)πr^3
The volume of the two figures together will be ...
V = πr^2·h + (2/3)πr^3 = πr^2(h +2/3r)
V = π(2 cm)^2·(4 cm + 2/3·2 cm) = 64π/3 cm^3
V ≈ 67.0 cm^3