Find the volume of the torus formed when a circle of radius 2 centered at (3, 0)

Question:

Find the volume of the torus formed when a circle of radius 2 centered at (3, 0) is revolved about the y-axis. Use the shell method. You may need a computer algebra system or table of integrals to evaluate the integral.

- 3- х

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

See More Books

Question Posted: Apr 09, 2019 01:24 PM

See More Questions

Use Pappus's Theorem to find the volume of the torus obtained when the region inside the circle x2 + y2 = a2 is revolved about the line x = 2a.
Consider the region R bounded by the graph of f(x) = 1/x + 2 and the x-axis on the interval [0, 3]. a. Find the volume of the solid formed when R is revolved about the x-axis. b. Find the volume of...
Find the volume of the solid torus formed when the circle of radius 4 centered at (0, 6) is revolved about the x-axis.
Hrishi is a senior executive for a large manufacturing company in Mississauga Ontario where he has been employed for the past 10 years and his annual salary is $250,000 including bonus. He is 47...
Suppose the address of an end system on the Internet is quoted as 134.48.4.122. What is the 32-bit address in hexadecimal notation?
The following events took place for Migliozzi Inc. during July, the first month of operations as a producer of road bikes: Purchased $416,000 of materials Used $358,000 of direct materials in...
Defection from a service based on payment plan. Refer to the Journal of Marketing Research (October 2019) study on defection from a service plan, Exercise 12.40 (p. 742). The researchers fit the...
The gear forces shown act in planes parallel to the yz plane. The force on gear A is 300 lbf. Consider the bearings at O and B to be simple supports. For a static analysis and a factor of safety of...
(5) Prepare a vertical analysis of the income statement data for Sheridan Corporation for both years. (Round percentages to 1 decimal place. es 12.1%) SHERIDAN CORPORATION Condensed Income Statements...
Table, from a General Social Survey, relates responses on R = religious service attendance (1 = at most a few times a year, 2 = at least several times a year), P = political views (1 = liberal, 2 =...
Imagine a cylindrical tree of radius a. A wedge is cut from the tree by making two cuts: one in a horizontal plane P perpendicular to the axis of the cylinder and one that makes an angle u with P,...
Suppose R is the region bounded by y = f (x) and y = g(x) on the interval [a, b], where f(x) g(x). a. Show that if R is revolved about the vertical line x = x 0 , where x 0 < a, then by the shell...
Consider the data of Exercise 13.2.10. Conduct an appropriate complete analysis of the data that also includes a graphical display and discussion of how the data do or do not meet the necessary...
Let f(x) = x+ 3, x20. The inverse of f is Of 1(x)=x - 3 (f (x) = -x-3 f-(x) = x - 3 Of 1(x) = 3 - x
Read the articles and please help me to write the whole assignment perfectly including the citations and references (APA Format). Pleaase choose the country and perspective of a particular industry....
A light, inextensible cord passes over a frictionless pulley as shown in figure below. One end of the rope is attached to a block, and a force P is applied to the other end. Block A weighs 600 lb and...
BASICOT POST DO NOT ASSIST DO NOT POST DO NOT ASSIST DO NOT POST DO NOT ASSIST For filming a physics demonstration about oscillation, an educational video crew attaches a large spring to a very small...
Day Mail Order Co. applied the high-low method of cost estimation to customer order data for the first 4 months of the year. What is the estimated variable order-filling cost component per order...
Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that R n (x) 0.] Also find the associated radius of...
Players A, B, and C toss a fair coin in order. The first to throw a head wins. What are their respective chances of winning?
If av() really is a typical value of the integrable function (x) on [a, b], then the constant function av() should have the same integral over [a, b] as . Does it? That is, does Give reasons for your...
a. Let a = x 0 < x 1 < x 2 < x n = b be any partition of [a, b], and let F be any antiderivative of . Show that b. Apply the Mean Value Theorem to each term to show that F(x i ) - F(x i -1 ) = (c...
a. Suppose the graph of a continuous function (x) rises steadily as x moves from left to right across an interval [a, b]. Let P be a partition of [a, b] into n subintervals of equal length x = (b -...
WISE-HOLLAND CORPORATION On June 15, 2013, Marianne Wise and Dory Holland came to your office for an initial meeting. The primary purpose of the meeting was to discuss Wise-Holland Corporation's tax...
Stock in ABC has a beta of 0.9. The market risk premium is 8%, and T-bills are currently yielding 5%. The company's most recent dividend is $1.60 per share, and dividends are expected to grow at a 6%...
Sweeten Company had no jobs in progress at the beginning of March and no beginning inventories. The company has two manufacturing departments --Molding and Fabrication. It started, completed, and...

Find the volume of the torus formed when a circle of radius 2 centered at (3, 0)

Question:

- 3- х

Step by Step Answer:

V 2 2 34 x 3 4 x dx 24 FS v 4x dx 24 24 Th...View the full answer

Calculus Early Transcendentals

Related Video

Students also viewed these Mathematics questions