(a) Use cylindrical coordinates to show that the volume of the solid bounded above by the sphere...
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(a) Use cylindrical coordinates to show that the volume of the solid bounded above by the sphere r2 + z2 = a2 and below by the cone z = r cot Φ0 (or Φ = Φ0), where 0 0
(b) Deduce that the volume of the spherical wedge given by
(c) Use the Mean Value Theorem to show that the volume in part (b) can be written as
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a From the diagram z r cot do to z ar r0 to r a sin d or use a r r cot Thus p2 V for fo 2 ...View the full answer
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