A right circular cone is known to have a height (h) that is four times its radius (r). (a) Write a mathematical statement for the height in terms of the radius: h= (b) The volume of a right circular cone is known as V = -rr h. Find the volume of the cone as a %3D function of the height only. Simplify your result leaving the answer with a 3 decimal approximation.

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 40E: For a right circular cone, the dimensions are r=6 cm and h=8 cm. If the length of the radius is...
icon
Related questions
icon
Concept explainers
Topic Video
Question
A right circular cone is known to have a height (h) that is four times its radius (r).
(a) Write a mathematical statement for the height in terms of the radius: h=
(b) The volume of a right circular cone is known as V= r-h. Find the volume of the cone as a
function of the height only. Simplify your result leaving the answer with a 3 decimal
approximation.
V(h) -
Transcribed Image Text:A right circular cone is known to have a height (h) that is four times its radius (r). (a) Write a mathematical statement for the height in terms of the radius: h= (b) The volume of a right circular cone is known as V= r-h. Find the volume of the cone as a function of the height only. Simplify your result leaving the answer with a 3 decimal approximation. V(h) -
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Application of Algebra
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
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,
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell