University⏱ 4 min

Disk Method

Volume of solid of revolution

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8 disks
Number of disks: 8
V=π∫0π[sin⁡x]2 dxV = \pi\int_0^\pi [\sin x]^2\,dx

Volume of revolution = sum of disk areas × thickness. Each disk has radius r=f(x) and area πr². As discs increase, the sum approaches the integral.