Find the integral using spherical polar coordinate

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Reference no: EM1317775

Show the mass as triple integral and solve the integral using spherical polar coordinate.

Let B be the three dimensional region below the sphere z = √ (1- x² - y²) and above the xy - plane. Suppose the density of the material inside B is given by:
Δ(x , z) = 8z (in Kg/m³).
Let Mass (B) denote the total mass (in kilograms) of the material inside region B.

Express Mass (B) as a triple integral in rectangular coordinates. Express the mass also as a triple integral in spherical coordinates. Use the spherical coordinate integral to evaluate.

Reference no: EM1317775

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