Volume of Solid of Revolution about x-axis Example
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This example demonstrates the calculation of the volume of a solid formed by revolving a plane region around the x-axis. It involves core math concepts like integration, volume computation, function graphing, and parameter adjustment. Constructed using GeoGebra commands such as Textfield, Integral, Surface, and FractionText, it includes function definition, integral calculation, surface display, and fractional input. Suitable for high school and above students to understand the geometric meaning and calculation of volumes of solids of revolution in calculus.
GeoGebra Commands & Parameters
Textfield(f) → InputBox1Integral(f, a, b) → cSurface(t, (f(t) * cos(u)), (f(t) * sin(u)), t, a, b, u, 0, 6.28319) → gTextfield(a) → InputBox2Textfield(b) → InputBox3Integral(h, a, b) → volFractionText(voldpi) → text2