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Find the volume of the figure.

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

Find the volume of the figure. Please break it down for me trying to understand how-example-1
User JNevill
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1 Answer

3 votes

Answer:

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:


=(1)/(3)\pi r^(2)h\\\\=(1)/(3)\pi*15*15*33\\\\=\pi*15*15*11\\\\=2475\pi m^(2)

Hemisphere:

Radius r = 15 m

Volume of Hemisphere =


=(2)/(3)\pi*r^(3)\\\\=(2)/(3)\pi*15*15*15\\\\=2*\pi*5*15*15\\\\=2250\pi

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

User Plspl
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