The sphere shown below has radius 12 meters. }x X We are trying to find the volume by making horizontal slices x meters from the top of the sphere. a. Find a formula for the radius of a slice that is a meters from the top of the sphere.

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 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
icon
Related questions
Question
The sphere shown below has radius 12 meters.
}₁
We are trying to find the volume by making horizontal slices x meters from the top of the sphere.
a. Find a formula for the radius of a slice that is a meters from the top of the sphere.
b. Set up the integral that represents the volume of the sphere. You do not have to integrate.
b
dr
a
where a =
and b =
X
Transcribed Image Text:The sphere shown below has radius 12 meters. }₁ We are trying to find the volume by making horizontal slices x meters from the top of the sphere. a. Find a formula for the radius of a slice that is a meters from the top of the sphere. b. Set up the integral that represents the volume of the sphere. You do not have to integrate. b dr a where a = and b = X
Expert Solution
steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
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,