[4] (b) Consider two spheres of radius R = 1 with a separation d
between their centres (see figure below). Use spherical
coordinates to compute the volume, V(d), of the intersection
as a function of d. Sketch the function V(d) and explain why
V(O) = n and V(2) = 0. (You can use the formula for the
volume of a cone without derivation.)
xy plane

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If value of cos330° is √3/2 then find tan165°.