The region bounded by the parabola y = ax 2 and the horizontal line y = h
Question:
The region bounded by the parabola y = ax2 and the horizontal line y = h is revolved about the y-axis to generate a solid bounded by a surface called a paraboloid (where a > 0 and h > 0). Show that the volume of the solid is 32 the volume of the cone with the same base and vertex.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 54% (11 reviews)
ha dx xh ax dx 27 hg 94 2T 2ha ...View the full answer
Answered By
PALASH JHANWAR
I am a Chartered Accountant with AIR 45 in CA - IPCC. I am a Merit Holder ( B.Com ). The following is my educational details.
PLEASE ACCESS MY RESUME FROM THE FOLLOWING LINK: https://drive.google.com/file/d/1hYR1uch-ff6MRC_cDB07K6VqY9kQ3SFL/view?usp=sharing
3.80+
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
-
Find the area of the region bounded by the parabola y = x2, the tangent line to this parabola at (1, 1), and the -axis.
-
Consider the parabola y = x 2 /4p with its focus at F(0, p) (see figure). The goal is to show that the angle of incidence between the ray and the tangent line L ( in the figure) equals the angle of...
-
Show that the polar equation of an ellipse or a hyperbola with one focus at the origin, major axis of length 2a on the x-axis, and eccentricity e is a(1 e) 1 + e cos 0
-
The following are selected transactions of Bridgeport Department Store Ltd. for the current year ended December 31. Bridgeport is a private company operating in the province of Manitoba where PST is...
-
Describe the advantages and limitations of parametric design.
-
Determine the angular acceleration of link EC in the position shown, where w = = 2 rad/sec and = 6 rad/sec 2 when = = 60. Pin A is fixed to link EC. The circular slot in link DO has a radius of...
-
Gold-on-gold nuclear collisions at the Relativistic Heavy Ion Collider (RHIC) at the Brookhaven National Laboratory create a quark-gluon plasma with an energy density of about \(4 \mathrm{GeV} /...
-
Following are some of the tests of controls and substantive tests of transactions procedures often performed in the payroll and personnel cycle. (Each procedure is to be done on a sample basis.) 1....
-
3. Consider a two period problem where a consumer has preferences over consumption in the two periods given by: log c + Blog c'. She has no initial assets and has income y in the first period y' in...
-
A private company has two debt covenants in place: a. Maximum debt- to- equity ratio: Current and long- term liabilities, excluding future income taxes, are divided by total shareholders equity. b....
-
Consider the region R bounded by the right branch of the hyperbola x 2 /a 2 - y 2 /b 2 = 1 and the vertical line through the right focus. a. What is the volume of the solid that is generated when R...
-
Completed in 1937, San Franciscos Golden Gate Bridge is 2.7 km long and weighs about 890,000 tons. The length of the span between the two central towers is 1280 m; the towers themselves extend 152 m...
-
Problems 145154. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus. A...
-
A surety or guarantor is discharged from their obligation when the principal debtor pays the debt. (True/False)
-
Which rights, privileges, and powers are held by an owner in fee simple?
-
A borrower has up to seven business days to rescind a mortgage. (True/False)
-
Dianes $6,000 debt to Ace Credit Company is past due, and Ace files suit. Before the judge hears the case, Ace learns that Diane has hidden some of her property from Ace. Ace believes that Diane is...
-
Kwame owns an apartment building in fee simple. Kwame can a. give the building away. b. sell the building for a price or transfer it by a will. c. do both a and b. d. do none of the above.
-
Cynthia and some associates want to form a corporation to develop and operate an industrial park. Cynthia is to contribute the land, which has significantly appreciated in value. She would like to...
-
Prove the formula for (d/dx)(cos-1x) by the same method as for (d/dx)(sin-1x).
-
Verify that (u * v) w = (v * w) u = (w * u) v and find the volume of the parallelepiped (box) determined by u, v, and w. u 2i + j V 2i - j + k W i + 2k
-
Prove that a parallelogram is a rectangle if and only if its diagonals are equal in length.
-
Find parametrizations for the line segments joining the points. Draw coordinate axes and sketch each segment, indicating the direction of increasing t for your parametrization. (1, 0, -1), (0, 3, 0)
-
List 3 different types of market segmentations. Let's hypothesize that you are the CEO of a hockey equipment company. Who would likely be your main market segment? Explain your answer. List 3...
-
what ways does the Multilevel Feedback Queue (MLFQ) scheduling algorithm address the complexities of modern computing environments by incorporating multiple priority levels and feedback mechanisms?
-
Part 1 : Use the table provided here to answer the questions below: 1) which attribute is the most important and what is the decision weight of each attribute 2) What is the market share between the...
Study smarter with the SolutionInn App