Consider the cap of thickness h that has been sliced from a sphere of radius r (see
Question:
Consider the cap of thickness h that has been sliced from a sphere of radius r (see figure). Verify that the volume of the cap is πh2 (3r - h)/3 using
(a) The washer method.
(b) The shell method.
(c) The general slicing method. Check for consistency among the three methods and check the special cases h = r and h = 0.
Transcribed Image Text:
h
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 53% (13 reviews)
a V r4r y dy n ry v3 2r3 r r h r h3 h 3r h b V 2 S 0 2...View the full answer
Answered By
Pushpinder Singh
Currently, I am PhD scholar with Indian Statistical problem, working in applied statistics and real life data problems. I have done several projects in Statistics especially Time Series data analysis, Regression Techniques.
I am Master in Statistics from Indian Institute of Technology, Kanpur.
I have been teaching students for various University entrance exams and passing grades in Graduation and Post-Graduation.I have expertise in solving problems in Statistics for more than 2 years now.I am a subject expert in Statistics with Assignmentpedia.com.
4.40+
3+ Reviews
10+ Question Solved
Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
Question Posted:
Students also viewed these Mathematics questions
-
A hemispherical tank with a radius of 10 m is filled from an inflow pipe at a rate of 3 m 3 /min (see figure). How fast is the water level rising when the water level is 5 m from the bottom of the...
-
For the situation described in Exercise 32, what is the rate of change of the area of the exposed surface of the water when the water is 5 m deep? Data from Exercise 32 A hemispherical tank with a...
-
Consider the mortgage discussed in Exercise 43, and assume that it carries a payment cap of 7%. Also, assume that the CMT index is 7.7% at the beginning of the seventh year. (a) Calculate the unpaid...
-
Tim plays a computer game. Each game is a win or a loss. He wins three fifths of his first 40 games. He then wins his next 12 games. For all 52 games, Required: work out the ratio wins: losses Give...
-
Does "refactoring" mean that you modify the entire design iteratively? If not, what does it mean?
-
UNIX coordinates the activities of the kernel I/O components by manipulating shared in-kernel data structures, whereas Windows NT uses object-oriented message passing between kernel I/O components....
-
Remember, it is important to draft the motion for summary judgment sufficiently in advance of the hearing date in order to allow time to serve and file the motion. Review CCP 437c, which governs...
-
Hertz Corporation is incorporated in the state of Delaware and has its headquarters in the state of New Jersey. Melinda Friend, a California citizen, sued the Hertz Corporation in California state...
-
Identify two positive and two negative factors involved in an analysis of a hotel's STAR Report. What alternative performance indicators would you suggest hotel owners use to evaluate the performance...
-
XYZ is a calendar-year corporation that began business on January 1, 2020. For the year, it reported the following information in its current-year audited income statement. Notes with important tax...
-
Verify that the volume of a right circular cone with a base radius of r and a height of h is r 2 h/3. Use the region bounded by the line y = rx/h, the x-axis, and the line x = h, where the region is...
-
A hemispherical bowl of radius 8 inches is filled to a depth of h inches, where 0 h 8 (h = 0 corresponds to an empty bowl). Use the shell method to find the volume of water in the bowl as a...
-
During the production of 15-ampere circuit breakers, samples are taken at periodic intervals and tested for the exact amperage at which they break a circuit. Each sample consists of n = 4 circuit...
-
Review open the link and respond the question below Urban (2017) includes various charts that show the distributions of income over time. Check out the first chart and compare 1963 to 2016, it looks...
-
Write the set {x | x 0 or x > 3} using interval notation
-
You choose to invest your $3,510 income tax refund check (rather than spend it!) in an account earning 5% compounded annually. How much will the account be worth in 30 years? (Use the Table...
-
The following code contains two classes both containing implementations of the factorial function. Calculator works fine for positive numbers, but not for negative numbers or 0. SafeCalculator tries...
-
Investment Proposal A B C D Investment required $ ( 4 2 0 , 0 0 0 ) $ ( 2 0 0 , 0 0 0 ) $ ( 1 7 0 , 0 0 0 ) $ ( 2 , 4 0 0 , 0 0 0 ) Present value of cash inflows 5 8 9 , 7 0 0 2 7 6 , 4 0 0 2 5 9 , 7...
-
In February 2004, scientists at Purdue University used a highly sensitive technique to measure the mass of a vaccinia virus (the kind used in smallpox vaccine). The procedure involved measuring the...
-
Problem 3.5 (4 points). We will prove, in steps, that rank (L) = rank(LT) for any LE Rnxm (a) Prove that rank (L) = rank (LTL). (Hint: use Problem 3.4.) (b) Use part (a) to deduce that that rank(L) =...
-
It would be nice if average values of integrable functions obeyed the following rules on an interval [a, b]. a. av( + g) = av() + av(g) b. av(k) = k av() (any number k) c. av() av(g) if (x) g(x) on...
-
Let F(x) = a x (t) dt for the specified function and interval [a, b]. Use a CAS to perform the following steps and answer the questions posed. a. Plot the functions and F together over [a, b]. b....
-
Find the areas of the regions enclosed by the curves. 4x 2 + y = 4 and x 4 - y = 1
-
In the context of performance management in not-for-profit organizations, Discuss the difference between objectives, Outputs, outcomes, and impact. Give an example of an objective, an output, And an...
-
Evidence is used to make a decision whenever the decision follows directly from the evidence (Tingling & Brydon, 2010). This is where so many people get it wrong or going by their personal beliefs or...
-
Despite Warren East's restructuring, Rolls-Royce still has a 'tall' organisational structure. Two options for the future of Rolls-Royce are to remain as a tall structure or to change to a flat...
Study smarter with the SolutionInn App