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Minchanka [31]
2 years ago
7

How do you find the volume of compound shapes

Mathematics
1 answer:
ioda2 years ago
7 0

so in this case, we have a rectangular prism, a box, at the bottom, and a cone on top.

the prism is just a 17x9x5, and its volume is just that product.

the cone uses the short side of 9 for its diameter, so the diameter of the cone is 9, meaning its radius is half that or 4.5, whilst its height is 10.


\bf \stackrel{\textit{volume of the prism}}{(17\cdot 9\cdot 5)}~~+~~\stackrel{\textit{voume of the cone}~~\frac{\pi r^2 h}{3}}{\cfrac{\pi (4.5)^2(10)}{3}}\implies 765+\cfrac{202.5\pi }{3}~\approx~977.0575

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