(c) A cone and a sphere are given by the equation, z = √x² + y² and x² + y² + z² = 6z, respectively. (i) (ii) Sketch the 3-dimensional graph of a solid bounded below the cone and inside the sphere and its projection on suitable plane. Calculate the volume of the solid bounded below the cone and inside the sphere using triple integrals.

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(c)
A
cone and a sphere are given by the equation, z =
x² + y² +z² = 6z, respectively.
(i)
(ii)
v2
+ y² and
Sketch the 3-dimensional graph of a solid bounded below the cone and
inside the sphere and its projection on suitable plane.
Calculate the volume of the solid bounded below the cone and inside the sphere
using triple integrals.
Transcribed Image Text:(c) A cone and a sphere are given by the equation, z = x² + y² +z² = 6z, respectively. (i) (ii) v2 + y² and Sketch the 3-dimensional graph of a solid bounded below the cone and inside the sphere and its projection on suitable plane. Calculate the volume of the solid bounded below the cone and inside the sphere using triple integrals.
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