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podryga [215]
3 years ago
11

Find the volume of the figure.

Mathematics
1 answer:
NARA [144]3 years ago
3 0

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

                         

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