ft? How fast is the balloon's radius increasing at the instant the radius is 2 ft? A spherical balloon is inflating with helium at a rate of 80r- min Write an equation relating the volume of a sphere, V, and the radius of the sphere, r. (Type an exact answer, using n as needed.) Differentiate both sides of the equation with respect to t. dV dr dt dt (Type an exact answer, using n as needed. Type an expression using r as the variable.) The balloon's radius is increasing at a rate of V at the instant the radius is 2 ft. (Simplify your answer.)

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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ft?
How fast is the balloon's radius increasing at the instant the radius is 2 ft?
A spherical balloon is inflating with helium at a rate of 80r-
min
Write an equation relating the volume of a sphere, V, and the radius of the sphere, r.
(Type an exact answer, using n as needed.)
Differentiate both sides of the equation with respect to t.
dV
dr
dt
dt
(Type an exact answer, using n as needed. Type an expression using r as the variable.)
The balloon's radius is increasing at a rate of
V at the instant the radius is 2 ft.
(Simplify your answer.)
Transcribed Image Text:ft? How fast is the balloon's radius increasing at the instant the radius is 2 ft? A spherical balloon is inflating with helium at a rate of 80r- min Write an equation relating the volume of a sphere, V, and the radius of the sphere, r. (Type an exact answer, using n as needed.) Differentiate both sides of the equation with respect to t. dV dr dt dt (Type an exact answer, using n as needed. Type an expression using r as the variable.) The balloon's radius is increasing at a rate of V at the instant the radius is 2 ft. (Simplify your answer.)
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