Let V be the volume of a right circular cone of height h = 20 whose base is a circle of radius R = 5. R (a) Use similar triangles to find the area of a horizontal cross section at a height y. Give your answer in terms of y. (Use symbolic notation and fractions where needed.) A(y) = h V = (b) Calculate V by integrating the cross-sectional area. (Use symbolic notation and fractions where needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Let V be the volume of a right circular cone of height h
R
A(y) =
h
V =
0
(a) Use similar triangles to find the area of a horizontal cross section at a height y. Give your answer in terms of y.
(Use symbolic notation and fractions where needed.)
(b) Calculate V by integrating the cross-sectional area.
(Use symbolic notation and fractions where needed.)
= 20 whose base is a circle of radius R = 5.
Transcribed Image Text:Let V be the volume of a right circular cone of height h R A(y) = h V = 0 (a) Use similar triangles to find the area of a horizontal cross section at a height y. Give your answer in terms of y. (Use symbolic notation and fractions where needed.) (b) Calculate V by integrating the cross-sectional area. (Use symbolic notation and fractions where needed.) = 20 whose base is a circle of radius R = 5.
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