A curved wedge is cut from a cylinder of radius 3 by two planes. One plane is perpendicular to the axis of the cylinder. The second plane crosses the first plane at a 45° angle at the center of the cylinder. Find the volume of the wedge. 2V9-x2 Ada the 3 volumes

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question

For the area formula for this problem, is this the formula for a 45 degree triangle? Where did A=(height)(width) come from? 

Ex. 2
A curved wedge is cut from a cylinder of radius 3 by two planes. One plane is
perpendicular to the axis of the cylinder. The second plane crosses the first plane at a
45° angle at the center of the cylinder. Find the volume of the wedge.
2V9-2
Ada the 3 volumes
A(x)= (height)(widh= Cx (2[9-x2)
mecrangle runs from x-0 X=3
45°
A(x) da =Sax/9-p da
V=
2
=9-x2
%3D
a
(
2
3
2)
-3
.2
x, -V9 – x
2
3.
2
36
(27)%3D118 cubic urite
3.
Transcribed Image Text:Ex. 2 A curved wedge is cut from a cylinder of radius 3 by two planes. One plane is perpendicular to the axis of the cylinder. The second plane crosses the first plane at a 45° angle at the center of the cylinder. Find the volume of the wedge. 2V9-2 Ada the 3 volumes A(x)= (height)(widh= Cx (2[9-x2) mecrangle runs from x-0 X=3 45° A(x) da =Sax/9-p da V= 2 =9-x2 %3D a ( 2 3 2) -3 .2 x, -V9 – x 2 3. 2 36 (27)%3D118 cubic urite 3.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning