The Second Proposition of Pappus states that the volume of any solid of revolution is equal to the generating area times the circumference of the circle described by the centroid of the area. a. The circular area described by x² + y² - 10x - 10y + 46 = 0 is revolved about the y-axis. Determine the volume generated using circular disk or cylindrical shell. Resolve the problem by applying the Second Proposition of Pappus. b.

Q: A rectangle R of length ℓ and width w is revolved about the line L . Find the volume of the…

A:

Q: Find the volume of the torus generated by revolving the circle (x − 13)² + y² = 64 about the y-axis.…

A: Answer

Q: Consider the region D in the ry-plane which is bounded by the following 2 4 = x and y = 3r. Compute…

A:

Q: C. Find the approximate Change in The volume of a circutar cone of base radis r and height h, by…

A:

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: According to our guidelines we can answer only first three subparts.

Q: 3. Calculate the volume of the object below by using Pappus-Guldinus theorem (Centroid of a quarter…

A: Finding the equation and region: Pappu's Theorem for volume: Volume=2π(area) (distance of Centroid…

Q: ind the volume of the "spherical cap" shown in the diagram. The sphere has a radius r, and the "cap"…

A: We have to find volume of cup.

Q: Find the volume of the cone generated by revolving about x = 0 the area bounded by the line 2x+y= 2…

A:

Q: V = LWH (volume of a rectangular solid) a. for W B. for H how would I go about getting W and H…

A: Explained below

Q: What is the area of revolution obtained by revolving the rectangle 90° about the x-axis? a.…

A: Thus option (b) is correct.

Q: 30. Find the volume of the solid common to the sphere p = a and the cone = a. Take a E

A:

Q: - 1)? + (y + 2)? + (z – 4)? = 36 For the spheres (x and x? + y + z? a) surface areas. b) volumes.…

A: The generel sphere equation is x-a2+y-b2+z-c2=r2where a,b,c-centre and r-radius.Surface area of the…

Q: 4. A sphere x² + y² + z² ≤ 4a² has a hole drilled through it in the shape x² + y² ≤ 2ax. How much of…

A:

Q: Let B be the solid whose base is the circle x2 + y2 = 361 and whose vertical cross sections…

A: Given that B be the solid whose base is the circle            Radius of the circle        At…

Q: A volume is described as follows: 1. the base is the region bounded by x 2. every cross section…

A:

Q: 1. A model building has dimensions as shown. 2xy + 6 7xy+14 xy Explain how to calculate the volume…

A:

Q: Show that the volume of a sphere of radius r is V = 4/3 pie r 3

A: