5. Use polar coordinates to find the volume of the solid formed above the cone 2 = √√x2 y2 and below the sphere x² + y² + z² = 25.

Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?

Find the exact volume of the solid that results when the triangular region with vertices at 0, 0, 6, 0 and 6, 4 is rotated about the a x-axis b y-axis

A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of a diagonal AB from the upper left rear vertex to the lower right front vertex. Round the answer to 1 decimal place.