Consider the sphere, x^2 + y^2 + z^2 = 2, and the paraboloid z = x^2 + y^2. Requried:
a. Describe the intersection of the sphere and the paraboloid in terms of a pair of equations.
b. Write down the iterated triple integral in cylindrical coordinates that represents the volume of the region bounded above by the sphere and below by the paraboloid. Hence evaluate this volume.
c. Write down the iterated triple integral in spherical coordinates that represents the volume of the region defined in (b). Do not evaluate this integral.

2x - 20 = 32 20 - 3x = 8 6x - 8 = 16 -13 - 3x = -10

Cone w has a radius of 8 cm and a height of 5 cm. square pyramid x has the same base area and height as cone w. paul and manuel disagree on how the volumes of cone w and square pyramid x are related. examine their arguments. which statement explains whose argument is correct and why? paul manuel the volume of square pyramid x is equal to the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is three times the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is (area of base)(h) = (200.96)(5) = 1,004.8 cm3. paul's argument is correct; manuel used the incorrect formula to find the volume of square pyramid x. paul's argument is correct; manuel used the incorrect base area to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect formula to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect base area to find the volume of square pyramid x.

Which fraction is equal to 1hole and 2/5? a.3/5 b.75 c.57 d.73