Exercise 5.5

Calculus 3

Question 7 0/1 pt 9 5 99 0 Details Evaluate the triple integral / / / g(x, y, z) dV over solid B. B = { (x, y, z) | 42 1 80/1 pt'OS 899 Goetails Let E be the region bounded cone 2 = 8 - m2 + y2 and the hemisphere z = 102 m2 2 . Provide y 0 Question 8 v an answer accurate to at least 3 significant digits. Find the volume of E. Triple lntearal 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. 0 Question 10 v 80/1 pt '0 5 3 99 (D Details Let E be the region bounded below by the cone 2 = 4 - ($2 + :92) and above by the sphere 22 = 102 m2 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. 0 Question 6 v B 0/1 pt '0 5 8 99 (D Details Let E be the region bounded above by m2 + y2 + 22 = 102 , within 3:2 + yr? = 32 , below by the TB plane. 1 22 Land 0363 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 . I3 0/1 pt '0 5 3 99 6) Details Let E be the region bounded cone z = 1 f3 - (3:2 + yz) and the sphere z = $2 + y2 + 22 . Provide an answer accurate to at least 4 significant digits. Find the volume of E. Triple Integral 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