Mathematics I20815 marksNumerical: volume by cylindrical shellsVolumes of cylindrical cells
Use cylindrical shells to find the volume of the solid obtained by rotating about the x-axis the region under the curve y = sqrtx for 0 to 1.
Use cylindrical shells to find the volume of the solid obtained by rotating about the x-axis the region under the curve $y = \sqrt{x}$ for $0$ to $1$. [5]
- Curve: $y = \sqrt{x}$ - Region: under the curve from $x = 0$ to $x = 1$ - Axis of rotation: the x-axis - Method required: cylindrical shells The method of cylindrical shells uses strips parallel to the axis of rotation. Since we rotate about the x-axis, we use horizontal strips and integrate wi...