10. The surface area of a cone is found by adding the area of the cone's base to the cone's lateral surface area. The base of a cone is a circle with an area of r², where r is the radius of the circle. The lateral surface of a cone is given by the expression Trs, where s is the slant height, or the distance from top of the cone to the edge of the base. Define a function f(r) that describes the area of the base of a cone. Define a function g(7) that describes the lateral surface area of a cone. Then simplify the function (f+g)(r).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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10. The surface area of a cone is found by adding the area of the cone's base to the cone's lateral
surface area. The base of a cone is a circle with an area of tr², where r is the radius of the circle.
The lateral surface of a cone is given by the expression trs, where s is the slant height, or the
distance from top of the cone to the edge of the base. Define a function f(r) that describes the
area of the base of a cone. Define a function g(r) that describes the lateral surface area of a cone.
Then simplify the function (f + g)(r).
Transcribed Image Text:10. The surface area of a cone is found by adding the area of the cone's base to the cone's lateral surface area. The base of a cone is a circle with an area of tr², where r is the radius of the circle. The lateral surface of a cone is given by the expression trs, where s is the slant height, or the distance from top of the cone to the edge of the base. Define a function f(r) that describes the area of the base of a cone. Define a function g(r) that describes the lateral surface area of a cone. Then simplify the function (f + g)(r).
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