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## Main Question or Discussion Point

Hi there,

I have no idea about this question can anyone help?

S is a solid of revolution in 3-dimensions, formed by rotating a full turn about the y-axis, the region in the ﬁrst quadrant of the (x, y)-plane bounded by the interval [1, 2] on the y-axis, and the curve x = (2 − y)(y − 1)^2

(a) Find the volume, moment My and centre of mass of the solid ob ject S .

(b) Formulate as an integral, but do not evaluate, the surface area of solid S.

I have no idea about this question can anyone help?

S is a solid of revolution in 3-dimensions, formed by rotating a full turn about the y-axis, the region in the ﬁrst quadrant of the (x, y)-plane bounded by the interval [1, 2] on the y-axis, and the curve x = (2 − y)(y − 1)^2

(a) Find the volume, moment My and centre of mass of the solid ob ject S .

(b) Formulate as an integral, but do not evaluate, the surface area of solid S.