Washer Method
If a region is revolved about an axis and has outer radius $$R(x)$$ and inner radius $$r(x)$$:
$$V=\pi\int_a^b[R^2(x)-r^2(x)]\,dx$$
Usage
- Used when the solid contains a hole or when two radii define each cross-section.
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CAT Formulas
Indefinite Integration
Washer Method
Washer Method
If a region is revolved about an axis and has outer radius $$R(x)$$ and inner radius $$r(x)$$:
$$V=\pi\int_a^b[R^2(x)-r^2(x)]\,dx$$
Usage
- Used when the solid contains a hole or when two radii define each cross-section.
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