The base of S is a circular disk with radius 6r. Parallel cross-sections perpendicular to the base are isosceles triangles with height 5h and unequal side in the base. (a) Set up an integral for the volume of S. 10h 6г √36r² - x²dx 5h 6r √36r2 - x²dx 6r 10h 36r2-x²dx -6r 6r 10h -6r (36²x²) dr 10h 6r xdx (b) By interpreting the integral as an area, find the volume V of S. V =

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 23E
icon
Related questions
Question
The base of S is a circular disk with radius 6r. Parallel cross-sections perpendicular to the base are isosceles triangles with height 5h and unequal side in the base.
(a) Set up an integral for the volume of S.
10h
6г
√36r² - x²dx
5h
6r
√36r2 - x²dx
6r
10h
36r2-x²dx
-6r
6r
10h
-6r
(36²x²) dr
10h
6r
xdx
(b) By interpreting the integral as an area, find the volume V of S.
V =
Transcribed Image Text:The base of S is a circular disk with radius 6r. Parallel cross-sections perpendicular to the base are isosceles triangles with height 5h and unequal side in the base. (a) Set up an integral for the volume of S. 10h 6г √36r² - x²dx 5h 6r √36r2 - x²dx 6r 10h 36r2-x²dx -6r 6r 10h -6r (36²x²) dr 10h 6r xdx (b) By interpreting the integral as an area, find the volume V of S. V =
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning