The volume of the vase obtained by revolving the curve y=2+sinx from x=0 to x=5 about the x-axis is 80.115 unit³
Volume is the amount of space occupied by a three dimensional shape or object.
The volume V is given by:
[tex]V=\pi \int\limits^0_5 {(R^2-r^2)} \, dx \\\\R = 2+sinx;r=0, hence:\\\\V=\pi \int\limits^0_5 {(2+sinx)^2} \, dx\\\\V=80.115\ unit^3[/tex]
The volume of the vase obtained by revolving the curve y=2+sinx from x=0 to x=5 about the x-axis is 80.115 unit³
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