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HW11.1 Spherical coordinates (r, 0,0) are defined as: x=rsin cos , y=rsin sind, z=rcos 8. See page 261 in the book. Thus dxdydz = |1)|drdodø . a) Determine the Jacobian]. b) Using the Jacobian, integrate over the volume of sphere of radius R to determine the total volume of the sphere.

HW11.1 Spherical coordinates (r, 0,0) are defined as: x=rsin cos , y=rsin sind, z=rcos 8. See page 261 in the book. Thus dxdydz = |1)|drdodø . a) Determine the Jacobian]. b) Using the Jacobian, integrate over the volume of sphere of radius R to determine the total volume of the sphere.

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HW11.1 Spherical coordinates (r, 0,0) are defined as: x = rsin @cos p. y = rsin sind. z = rcos 8. Thus_dxdydz = |(9,5)|drdədø . See page 261 in the book. a) Determine the Jacobian J. b) Using the Jacobian, integrate over the volume of sphere of radius R to determine the total volume of the sphere.
Transcribed Image Text:HW11.1 Spherical coordinates (r, 0,0) are defined as: x = rsin @cos p. y = rsin sind. z = rcos 8. Thus_dxdydz = |(9,5)|drdədø . See page 261 in the book. a) Determine the Jacobian J. b) Using the Jacobian, integrate over the volume of sphere of radius R to determine the total volume of the sphere.
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