Answer:
Step-by-step explanation:
Volume of the figure = Volume of cone + Volume of hemisphere
Cone:
height h = 33 m
Diameter = 30m
Radius r = 30/2 = 15 m
Volume of Cone:
[tex]=\frac{1}{3}\pi r^{2}h\\\\=\frac{1}{3}\pi*15*15*33\\\\=\pi*15*15*11\\\\=2475\pi m^{2}[/tex]
Hemisphere:
Radius r = 15 m
Volume of Hemisphere =
[tex]=\frac{2}{3}\pi*r^{3}\\\\=\frac{2}{3}\pi*15*15*15\\\\=2*\pi*5*15*15\\\\=2250\pi[/tex]
Volume of the figure = 2475π + 2250π = 4725π m²
