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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CAT Formulas
Indefinite Integration
Volume of a Solid with Semicircular Cross-Sections
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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