Find the volume of solid generated when the are... - JAMB Mathematics 1999 Question
Find the volume of solid generated when the area enclosed by y = 0, y = 2x, and x = 3 is rotated about the x-axis.
A
81 π cubic units
B
36 π cubic units
C
18 π cubic units
D
9 π cubic units
correct option: b
\(y = 2x \ V = \int\pi^{2}dy \ but\hspace{1mm}y = 2x \ V = \int\pi4x^{2}dx\ V = \frac{4(3)^{3}\pi}{3}-\frac{4(3)^{3}\pi}{3}\V=\frac{4*27\pi}{3} = 36\pi \hspace{1mm}cubic\hspace{1mm}units\)
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