Question

Find the volume of the figure.

Please break it down for me trying to understand how to solve this :)

Answer 1

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:

$=\frac{1}{3}\pi r^{2}h\\\\=\frac{1}{3}\pi*15*15*33\\\\=\pi*15*15*11\\\\=2475\pi m^{2}$

Hemisphere:

Radius r = 15 m

Volume of Hemisphere =

$=\frac{2}{3}\pi*r^{3}\\\\=\frac{2}{3}\pi*15*15*15\\\\=2*\pi*5*15*15\\\\=2250\pi$

Volume of the figure = 2475π + 2250π = 4725π m²