MATH 2177-Find the volume of the following solid using triple integrals

Question # 00363858 Posted By: solutionshere Updated on: 08/17/2016 01:02 AM Due on: 08/17/2016
Subject Mathematics Topic Calculus Tutorials:
Question
Dot Image

Homework Problems

1. Find the volume of the following solid using triple integrals: The wedge above the xy-plane formed when the cylinder x2 + y2 = 4 is cut by the planes z=0 and y=(-z)

2. Evaluate the following integrals.

3. Find the volume of the following solid: The solid bounded by

4. Rewrite the following integrals using the indicated order of integration and then evaluate the resulting integral.

5. Find the average temperature in the box with a temperature distribution of

6. Find the average of the squared distance between the origin and points in the solid cylinder

7. Find the volume of the cap of a sphere of radius R with height h.

http://i.stack.imgur.com/mjTLf.gif

8. For the solid bounded the cone and the solid bounded by the paraboloid have the same base in the xy-plane and the same height. Which object has the greater mass if the density of both objects is?

9. Use cylindrical coordinates to find the volume of the following solid: The solid bounded by the plane and the hyperboloid

10.Evaluate the following integrals in spherical coordinates:

a. ; D is the unit ball

b. ; D is the unit ball.

11.Use spherical coordinates to find the volume of the followings solids:

a. The solid bounded by the sphere and the hemisphere

b. The solid outside the cone and inside the sphere

12.Choose the best coordinate system for finding the volume of the following solids. Surfaces are specified using the coordinates that give the simplest description, but the simplest integration may be with respect to different variables:

a. That part of the solid cylinder r?2 that lies between the cone and

13.A right circular cylinder with height 8 cm and radius 2 cm is filled with water. A heated filament running along its axis produces a variable density in the water given by. (? stands for density here, not the radial spherical coordinate). Find the mass of the water in the cylinder. Neglect the volume of the filament.

Dot Image
Tutorials for this Question
  1. Tutorial # 00359546 Posted By: solutionshere Posted on: 08/17/2016 01:04 AM
    Puchased By: 2
    Tutorial Preview
    The solution of MATH 2177-Find the volume of the following solid using triple integrals...
    Attachments
    MATH_2177-Find_the_volume.zip (8.13 KB)

Great! We have found the solution of this question!

Whatsapp Lisa