0, above by the sphere x? + y? +z? = 4 and on the sides by Let E be the region bounded by the plane z = the cylinder x? + y² = 1. Set up the integrals, using cylindrical coordinates that give the volume of E using the following orders of integration: a) dzdrd0,b) drdzd0,c) d0dzdr 1.

Q: Find the volume of material cut from the solid sphere r2 + z2 <=9 by the cylinder r = 3 sin u.

A:

Q: 6. The solid region bounded above by the cone z 8-√√x²+ y², on the sides by the cylinder x² + y² =…

A: The cone equation is :

Q: Use a triple integral to find the volume of the solid bounded by the parabolic cylinder y = 8x² and…

A: Find the volume bound by the Planes and cylinder ,using triple integrals in general coordinates

Q: Find the Volume the Colid obtained by rotating the vegion enclosed about linie 4=0 Using the metned…

A:

Q: Q5) Find volume of body bounded by z2 + y2 + x2 = 4.

A: Given equation is z2 + y2 + x2 = 4

Q: 3]. , Let V = ar²h, where V the volume of a right circular cone of radiusr and height h. Show that…

A:

Q: 4. pis) Find the volume of the solid bounded by the planes z = 0, z = 4, and y = 9 and the…

A: We have to find the volume by using tripple integral.

Q: write an above Z=X Integral far the Solid x*+y? and è= Tx?. in dzdrdo and dz dydx

A:

Q: Find the centroid of area of region n bounded by 2 y² = x, y² x - 2 8 Answer: (1/11/12) 号 ) 5

A: Concept: Centroid: The coordinates of the centroid are represented as (x¯,y¯) The coordinates of the…

Q: Find the volume V which lies inside the sphere x + y' +(z – 5)² = 25 and outside the sphere x? + y?…

A:

Q: The volume of the solid region in the first octant bounded by the x²+y² and z= √x² + y² and the…

A:

Q: Q3) Find volume of body from below z = x² + y² and above z = 1.

A:

Q: 3) Express the volume of the part of the sphere x² + y² + z² = 4 inside the paraboloid 3z = x² + y²…

A: The given problem is set up an integral that gives the volume of the given solid. Given solid is…

Q: find the volume in the first octant under the plane z=y and inside the cylinder y²=4-x.

A: Given that, the cylinder is y2=4-x and the plane is z=y. y2=4-xy=±4-x Note that, the volume is in…

Q: Q5) Find volume of body bounded by z² + y² + x² = 9.

A: Explanation of the answer is as follows

Q: 12. Consider the solid Q bounded by the surface of equation z = x*+ y° and the plans z = 4, yv3 = x,…

A:

Q: Q3) Find volume of body from below z = x2 + y? and above z = 1.

A:

Q: Consider a solid bounded by, x² + y²=16, z=y², z=0 and x=0 Calculate its volume.

A: Introduction: Volume and the triple integral are equivalent. Integral is mostly used to calculate…

Q: Calculate the volume which is bounded by z = 0, z = = 4 – x² – y² and the cylinder x² + y² = 1.

A:

Q: Set up triple integrals for the volume of the sphere p=5 in a. spherical, b. cylindrical, and c.…

A: Given: ρ=5 We have to set up triple integrals for a) spherical, b) cylindrical, and c) rectangular…