Answer:
188.57 cm³
Step-by-step explanation:
You want the total volume of a cone of height 14 cm topped by a hemisphere of radius 3 cm.
Volume
The volume of the hemisphere is ...
V = 2/3πr³
The volume of the cone is ...
V = 1/3πr²h
The sum of these volumes is ...
V = 2/3πr³ +1/3πr²h = (π/3)r²(2r+h)
V = (22/21)(3 cm)²(2·3 cm +14 cm) = (22/21)(9)(20) cm³
V ≈ 188.57 cm³
The volume of the figure is about 188.57 cm³.
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