Answer: volume of the figure is 999πm³
Step-by-step explanation:
The composite figure consists of a hemisphere and a cone.
The formula for determining the volume of a hemisphere is expressed as
Volume = 2/3πr³
Where
r represents the radius of the hemisphere
π is a constant whose value is 3.14
From the information given,
Diameter of hemisphere = radius of cone = 18 m
Radius = diameter/2 = 18/2 = 9m
Volume if hemisphere =
2/3 × π × 9³ = 486π m³
The formula for determining the volume of a cone is expressed as
Volume = 1/3πr²h
Height = 19m
Volume = 1/3 × π × 9² × 19 = 513πm³
Volume of the composite figure = volume of hemisphere + volume of cone. It becomes
486π + 513π = 999πm³
