Exercise 5.5 (6,8,9,10)

Calculus 3(problems on Triple integrals in Cylindrical and Spherical Coordinates)

0 Question 6 v B 0/1 pt '0 5 8 99 (D Details Let E be the region bounded above by 932 l y2 + 22 = 102 , within $2 + y2 = 32 , below by the TB plane. 1 22 1,and 0:6: Err. FindthevolumeofE. Triple Integral Cylindrical Coordinates Note: The graph is an example. The scale and equation parameters may not be the same for your particular problem. Hint: Convert from rectangular to cylindrical coordinate system. 0 Question 9 . B 0/1 pt '0 5 8 99 (D Details Let E be the region bounded cone z = 1 /3 - (2:2 + y2) and the sphere z = m2 + y2 + Z2 . Provide an answer accurate to at least 4 significant digits. Find the volume of E. Triple lntegral Spherical Coordinates Cutout of sphere ls for visual purposes Note: The graph is an example. The scale and equation parameters may not be the same for your particular problem. Hint: Convert from rectangular to spherical coordinate system. 0 Question 10 v E 0/1 pt '0 5 ('3 99 6) Details Let E be the region bounded below by the cone 2 = 4 - (a:2 + y2) and above by the sphere 22 = 102 :32 y2 . Provide an answer accurate to at least 4 significant digits. Find the volume of E. Triple Integral Spherical Coordinates Cutout of sphere is for visual purposes Note: The graph is an example. The scale and equation parameters may not be the same for your particular problem. Hint: Convert from rectangular to spherical coordinate system. o Question8 . H I 8011 pt '0 5 399 Goetaus Let E be the region bounded cone 2 = 8 - m2 + y2 and the hemisphere z = 102 m2 2 . Provide 3; an answer accurate to at least 3 significant digits. Find the volume of E. Triple Integral Spherical Coordinates Note: The graph is an example. The scale and equation parameters may not be the same for your particular problem. Hint: Convert from rectangular to spherical coordinate system