Answer: volume = 4275π m³
Step-by-step explanation:
The composite figure shown in the diagram is made up of a hemisphere at the top and a cone at the bottom.
Therefore,
Volume = volume of hemisphere + volume of cone.
The formula for determining the volume of a hemisphere is expressed as
Volume = 2/3πr³
Diameter of hemisphere = 30m
Radius = diameter/2 = 30/2 = 15m
Volume of hemisphere = 2/3 × π × 15³ = 2250πm³
The formula for determining the volume of a cone is expressed as
Volume = 1/3πr²h
h = height of cone = 33m
r = 15 m
Volume = 1/3 × π × 15² × 33
Volume = 2475π m³
Volume of the composite figure is
2250π + 2475π = 4275π m³
