Answered: Which of the following integrals will…

Which of the following integrals will determine the volume of the solid generated by revolving the region bounded by the curves y = 5x, y = x and y = 20 about the y-axis using the shell method?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 5E: For the right circular cylinder, suppose that r=5 in. and h=6 in. Find the exact and approximate a...

See similar textbooks

Related questions

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

Q: Identify the definite integral that computes the volume of the solid generated by revolving the…

Q: Which of the following integrals gives the volume of the solid revolving the bounded region obtained…

Q: Set up two integrals to find the volume of the solid of revolution in the first quadrant of y=X^3…

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

A: Topic = volume

Q: Which of the following gives the volume of the solid of revolution obtained by rotating the region…

A: The radius of the region= x Height of the region= f(x) = x2(7.7x4+8.6)12 Where x is between 0 to 10…

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

Q: In what option is the definite integral that calculates the volume of the rotating body formed by…

A: Given, y=e4x, y=4 , y-axis is region it is rotating around the x=(ln2)/2 parallel to y-axis. so…

Q: . Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

A: Here we use the basic form of revolution of curve around X axis

Q: Set up the integral that will give the volume of the solid generated when the region bounded by the…

A: Solved below

Q: Set up the integral that gives the volume of the solid formed by revolving the region bounded in the…

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

Q: Only one of these calculations is correct to evaluate the volume of the solid generated by revolving…

Q: Find the volume of the solid generated when the region bounded by the graph of y = - cos x and the…

A: detailed solution is given below

Q: The integral that represent the volume of the solid obtained by rotating the region bounded by y =…

A: We will find the volume as following.

Q: The volume of the solid obtained by rotating the region enclosed by y = eSz + 2, y = 0, T = 0, I=0.4…

Q: The area bounded by y=3Vx and 2y= 3x is revolved about the x-axis. Using cylindrical shell method,…

A: Using cylindrical shell method.

Q: Evaluate the double integral that will find the volume of a solid bounded by z = 4 − x^2 − 4y^2 and…

A: Let's find volume of solid.

Q: 2. Set up the integral that will give the volume of the solid generated when the region bounded by…

Q: The volume of the solid obtained by rotating the region enclosed by y = x", y = 6x, about the line y…

A: First sketch the curves then use method of disc to get the volume of solid obtained.

Q: Find the volume of the solid generated by revolving the region R bounded by y = e-X, y= 0, x= 0 and…

Q: Set up the integral that will give the volume of the solid generated when the region bounded by the…

Q: Which of the following represents the integral to find the volume of the solid generated by…

A: The region given to us is y=x2 and a line y = x+2

Q: Set up a definite integral to find the volume of the solid generated by revolving the region…

A: To work out the definite integral for the volume of the required solid of revolution

Q: Use a triple integral to find the volume of the solid bounded by the graphs of the following…

Q: find the definite integral expression that computes the volume of the solid of revolution obtained…

Q: Find a single integral whose value is the volume of the solid obtained by rotating the region…

Q: Only one of these calculations is correct to evaluate the volume of the solid generated by revolving…

Q: what is the volume of the solid generated by revolving the region bounded by x=6y-y^2 and x=0 about…

A: We will find out the required volume of solid of revolution by shell method.

Q: Which of the following is the integral (according to the shell method) that gives the volume of the…

A: Using the method of Cylindrical Shells: We can find the volume…

Q: 2. Set up the integral(s) for finding the volume of the solid of revolution obtained by rotating…

A: We will find out the required volume of solid of revolution.

Q: The volume of the solid obtained by rotating the region bounded by y = a?, 6x, about the line x = 6…

A: We rotate the shaded region around x=6 lineExpress the given functions as function of y.

Q: The region bounded above by y=2x and below by y=x2 is revolved about the y-axis to generate a solid.…

A: The cylindrical shell method is method of calculating the volume of solid of revolution when…

Q: Set up the integral that will give the volume of the solid generated when the region bounded by the…

A: The integral can be modelled by calculating the intersection points of the curves. The intersection…

Q: Sketch the region bounded by the curves y = 10 Jĩ and y = 10x³ then set up the integral needed to…

Q: Set up the integrals to find the volume generated by revolving the region bounded by y 4 – 2x and y…

Q: Set up the integral that will give the volume of the solid generated when the region bounded by the…

A: Set up the integral that will give the volume of the solid generated when the region bounded by the…

Q: Choose the integral that computes the volume of the solid obtained by rotating the regio by V = 4x…

Q: Set up the integral that you would need to solve to find the volume of the solid created by rotating…

Q: reproends the volume of the solid of revolution obtained byrotating the region 2)Set up but do…

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

Q: The volume of the solid obtained by rotating the region enclosed by y = x², y = 4x, about the line y…

A: We have to find the volume of the region.

Q: The area bounded by y=3x and 2y=x is revolved about the x-axis. Using cylindrical shell method, set…

Q: Let R be the region between the line y= 2x and the curve y=x. Then, which of the following…

A: Two given equations are Apply the shell method to find the volume of the solid obtained by…

Q: Only one of these calculations is correct to evaluate the volume of the solid generated by revolving…

A: Here we have to set up the required integral.

Q: Which of the following integrals will determine the volume of the solid generated by revolving the…

Q: Set up the integral to find the volume of the solid obtained when rotating the region bounded by y =…

A: To set up the integral for finding the volume of the solid obtainedwhen rotating the region bounded…

Question

Which of the following integrals will determine the volume of the solid generated by revolving the region bounded by the curves
y = 5x, y = x and y = 20 about the y-axis using the shell method?
4
16as di + "a 20 - a7 de
а)
1 (20 – x)² dx
20
b)
8/5 л у? dy
20
8 n x² dx +
2 лх (20 — х) dx
20
d)
2лх(20— 4 х) dx
20 16 a y
e)
dy
25

Expert Solution

Step 1

first, we will draw it on a graph

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Double Integration$

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.