Given the area in the first quadrant bounded by x^2 = 8y, the line y - 2 = 0 and the y-axis. What is the volume generated when this area is revolved about the x- axis? * 34.45 cu. units O 45.56 cu. units 20.32 cu. units 40.21 cu. units

Given the area in the first quadrant bounded by x^2 = 8y, the line y - 2 = 0 and the y-axis. What is the volume generated when this area is revolved about the x- axis? * 34.45 cu. units O 45.56 cu. units 20.32 cu. units 40.21 cu. units

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter5: Factoring Polynomials

Section5.13: Using Factoring To Solve Problems

Problem 27P

See similar textbooks

Related questions

Q: Determine the volume of the rotating object that occurs if the area of the curve y1 = - x2 + 4 and…

Q: A composite figure is a cylinder with a hemispherical hole in the top. The bottom of the hemisphere…

A: The given figure is: Since the bottom of the hemisphere touches the base of the cylinder.…

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

Q: Find the volume of a cylinder with a radius of 9 cm and a height of 10 cm. Volume = %3D

A: We can use mansuration in order to solve the given problem.

Q: right circular cone of radius 3 cm has a curved surface area of 47.1 cm2 .Find the volume of the…

Q: You have been asked to design a one-liter can shaped like a right circular cylinder. What dimensions…

Q: A box is to be made of a piece of cardboard 9 in. square by cutting equal squares out of the cormers…

Q: A right circular cylinder has a radius of 10 inches and a height of 16 inches. Find the lateral…

A: Lateral surface area = 1005.7 Square inches Total surface area = 1634.28 square inches Volume of…

Q: Find the volume of a right circular cone that has a height of 3.2 m and a base with a radius of 14.1…

Q: An igloo or Eskimo hut is built in the form of a hemispherical shell with an inside diameter of 12…

Q: What is the volume of a 2 mole samples of gas has a temperature of 50’C at 4 atm.

Q: Approximate the change in the volume of a right circular cylinder of fixed radius r= 19 cm when its…

Q: right triangle with base width of 6 and height of 3 have its right-angle corner at coordinate (6,…

A: Given query is to find the volume of the solid generated.

Q: Suppose that you have measured the length of the side of a cube as (3.00.005) meters. Give an…

Q: A can in the shape of a right circular cylinder is required to have a volume of 500 cubic…

A: The radius= r Height= h So the volume is: V=πr2h500=πr2hFrom here we get:h=500πr2

Q: The base of a three-dimensional figure is bound by the line y = x² on the interval [0, 2]. Vertical…

A: Formula: If the area of the cross-sections of a solid at x is Ax for a≤x≤b, then the volume of the…

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: A hemisphere is the half of a sphere. The volume of a sphere is given by the equation; V=23πr3

Q: a steel pipe with an outside radius of 12 inches and a length of 2 ft is coated outside with 0.01…

Q: What is the volume of the solid formed in part III?

Q: How can I derive the formula for volume (of any shape) and how can it be used?

A: Volume:- It is defined as the three-dimensional space enclosed by a boundary or occupied by an…

Q: 2. CALCULATE THE VOLUME OF A RIGHT CIRCULAR CONICAL CONTAINER (IN LITERS) WHOSE HEIGHT IS 4 YARDS…

Q: Write few lines about the volume and surface of revolution.

Q: A mineral deposit along a strip of length 6 cm has density s(x) = 0.01x(6 − x) g/cm for 0 ≤ x ≤ 6.…

Q: A tank in a shape of an inverted cone has a height of 2 meters and a radius of 0.5 meters. Estimate…

Q: Suppose a 5 pint container of a certain fluid weighs 8.8 pounds. Use dimensional analysis to…

Q: Find the volume of a right circular cone that has a height of 3.2 m and a base with a radius of 14.1…

A: We have to find volume right circular cone that has a height of 3.2 m and a base with a radius of…

Q: Compute the volume of the large cylinder with a small cylinder removed

A: Given, Radius of Outer Cylinder, Ro= 10 inch Radius of Outer Cylinder, Ri = 5 inch Height of the…

Q: a mihute of losing some air the pump runs its second cycle. Find the volume immediately following…

Q: A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone.…

Q: Explain how to find the volume of a solid with a known cross section.

A: We have to explain how to find the volume of a solid with a known cross section.

Q: The base of a three-dimensional figure is bound by the line x = -y - 2 on the interval [-5, -2].…

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: Volume of a hemispherical dome is

Q: A cube with sides 14 inches long is covered with a coat of fiberglass 0.4 inch thick. Use…

Q: Suppose that you have measured the length of the side of a cube as (3.00±.005) meters. Give an…

Q: A cylindrical can is to have a volume of 400 cubic centimeters. Find the dimensions (height and…

Q: Solve for the volume of a right octagonal pyramid where the perimeter of the regular octagonal base…

A: volume of a right octagonal pyramid

Q: A cylinder has a base radius of 3m and a height of 17m. What is its volume in cubic m, to the…

Q: 3. The area on the second and third quadrant of the circle x^2+y^2=36 is revolved about the line…

A: Sketch the region and find limit in y variable.

Q: A piece of 14.0 in. by 18.0 in. metal duct is a rectangular prism. If it is 4.00 ft long, what is…

Q: A hollow glass bowl in the shape of a sphere of radius 4 in. is filled with water to a depth of 3…

A: Given: The radius of the bowl is 4 inches. The depth of the bowl is 3 inches. Formula used: The…

Q: Given the area in the first quadrant by x^2 = 8y, the line x = 4 and the x axis. What is the volume…

Q: A cylindrical gasoline tank, lying horizontally, 0.90 m. in diameter and 3 m long is filled to a…

A: Topic - volume of geometrical structure

Q: The areas in cut of two irregular sections 65 meters apart are 36m and 72m respectively. Base width…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A 16-inch diameter pizza has a cheese-filled end part that is 1-inch wide. If the pizza is divided…

A: Radius = diameter/2 i.e. radius is half of diameter. Area of circle= πr2( r is radius)

Q: d the volume of losed by y = line

A: Here the function is f(x)=x , y=0 and x=9 is revolved about the line x=9

Q: A box is to be constructed from a piece of zinc 20 inches square by cutting equal squares from each…

A: Given- A box is to be constructed from a piece of zinc 20 inches square by cutting equal squares…

Q: The area on the first quadrant of the circle x^2 + y^2 = 36 is revolved about the line y + 10 =0.…

Q: Find the dimensions of a right-circular cylinder of greatest volume that can be inscribed in a…

A: Given that: A sphere of radius 10 in.

Q: A stack of paper measures 16 cm by 10 cm by 1 cm. The paper has a density of 0.04 grams/cm^3. What…

Q: A line with negative slop X-axis and y-axis and passes through the point (2, 2). What is the sum of…

Question

Given the area in the first quadrant bounded by x^2 = 8y, the line y - 2 = 0 and the
y-axis. What is the volume generated when this area is revolved about the x-
axis? *
34.45 cu. units
45.56 cu. units
20.32 cu. units
40.21 cu. units

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Use the washer method volume formula-

VIEW

Step 2: Plug in the bounds in the resulting expression-

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Spheres$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a lateral area. b total area. c volume.
Find the volume of a steel shaft that is 18.64 cm long and has a radius of 1.75 cm. Round your answer to 2 decimal places.
A seamless brass tube and brass flange assembly is shown. The tube is pressed fit into the full 1.250-inch plate thickness. The brass used weighs 0.305 pound per cubic inch. Find the total weight of the assembly. Round the answer to the nearest tenth pound.
The area on the first quadrant of the circle x^2 + y^2 = 36 is revolved about the line y + 10 =0. What is the volume generated? Show full solution
Find the approximate change in volume of a cube of side 'x' inches caused by increasing its sides by 2%
A box is to be constructed from a piece of zinc 20 inches square by cutting equal squares from each corner and turning up the zinc to form the side. What is the volume of the largest box that can be so constructed?
The radius of a right circular cylinder of height 16 inches and radius 4 inches decreases by 5 inch What is the approximate change in volume?
A box is to be constructed from a piece of zinc 10 in. square by cutting equal squares from each corner and turning up the zinc to form the side. What is the volume of the box to attain maximum?
Suppose that the radius of the hut is increased by 2.5%. Calculate the following:(i) Percentage increase in the area of the roof?(ii) Percentage decrease in the proportion of the volume taken by the ball in the hut?
Determine the volume of the rotating object that occurs if the area of the curve y1 = - x2 + 4 and the line y2 = - 2x + 4 , is rotated around the x axis, a distance of 360°?. Make the boundaries of the curve area!
Approximate the change in the volume of a right circular cylinderof fixed radius r = 20 cm when its height decreases fromh = 12 cm to h = 11.9 cm (V(h) = πr2h).