Use cylindrical or spherical coordinates, whichever seems more appropriate. V = (x, y, z) = Find the volume V and centroid of the solid E that lies above the cone z = √x² + and below the sphere x² + y² + z² = 16.

Q: What is the x centroid position for the shape below? Center:D, 2m 10m 3.4m 3.9m 4.4m 4.9m

A: Formula for centroid, C C=∑Ax∑A

Q: Determine the coordinates of the centroid of the shaded area. y 20 60 188 20 40 50 Answers: 50 40.…

A: Break the given shaded area into the five different areas as shown below:

Q: Find the surface area of the part of the plane z = 4 + 2x + 3y that lies inside the cylinder z² + y²…

A:

Q: Use spherical coordinates to find the volumes of the two solids obtained when the hemisphere z =…

A: Let  x=rsinθcosφy=rsinθsinφz=rcosθJ=∂x,y,z∂r,θ,ϕ=r2sinθdrdθdϕ The plane x=3 divide the hemisphere…

Q: Locate the centroid of the frustum of a right circular cone when r1= 41 mm, r2 = 50 mm, and h = 60 r…

A: It is given that r1=41 mm, r2=50 mm, and h=60 mm.The schematic diagram of right circular cone ABCD…

Q: find The volume of Ihe solid generated by revolving each vegion enclosed by he triangle wilh…

A:

Q: Determine the coordinates of the centroid of the trapezoidal area shown. Assume a = 290 mm, b = 405…

A:

Q: The plane x=3 cuts the sphere x2 + y2 + z2 =25 What shape does their intersection make? Find a…

A:

Q: Find the volume of the solid that lies within the sphere x² + y² + z² = 4, above the xy plane, and…

A:

Q: Find the area of each circle, given the radius r or the diameter d. Leave your answer in tems of t.

A: See the detailed solution below.

Q: Find the volume of the solid that lies within both the cylinder x² + y² = 4 and the sphere x² + y² +…

A:

Q: Find the volume of the prism whase base is the triangle in te Xy-plane bonnded by the X-axis and the…

A: To find- Find the volume of the prism whose base is the triangle in the xy-plane bounded by the…

Q: Find the volume of the solid that lies within the sphere x² + y2 + z² = 25, above the xy-plane, and…

A:

Q: Use cylindrical coordinates to determine the volume of the solid that is enclosed by the cone z =…

A: Volume by cylindrical coordinates

Q: Find the volume of the solid that lies within the sphere x² + y + z² = 81, above the xy plane, and…

A:

Q: Mrs. Wigen conducted a survey in her math class. She asked each of her students to tell her how many…

A: The data plotting helps to visualize the relationship between variables. A dot plot consists data,…

Q: Use spherical coordinates. Find the volume of the solid that lies within the sphere x2 + y2 + z2 =…

A:

Q: Use cylindrical coordinates to find the volume of the solid that lies within the sphere x² + y² + z²…

A: Solid that lies within the sphere above the xy plane and outside the cone .To Find:Using the…

Q: Use cylindrical coordinates. JSS x² + y2 dv, where E is the region that lies inside the cylinder x²…

A:

Q: the surface area E = 9(x1 4₁2)

A:

Q: 2 + v - , 2+z+ 11. 0. di

A:

Q: y 2 2 2 4

A:

Q: Let C be the portion of the circle (x − 1)² + (y + 1)² = 25 from (-3,-4) to (6, -1) traced counter…

A: