Volume of a Solid with Semicircular Cross-Sections

Rarely Tested

Volume of a Solid with Semicircular Cross-Sections

If the diameter of each semicircular cross-section is:

$$d(x)$$

then:

$$V=\frac{\pi}{8}\int_a^bd^2(x)\,dx$$

Usage

- Used when the cross-sections are semicircles and their diameters are known.

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