Applications of Integration

Question

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.

y=4x²,x=1,y=0, about the x-axis

Answer 1

By disk method volume V = π∫₀¹(4x²)²dx = 16π/5x⁵₀¹ = 16π/5 = 10.0531