A spherical balloon is inflating with helium at a rate of 64 increasing at the instant the radius is 2 ft? ft min How fast is the balloon's radius Write an equation relating the volume of a sphere, V, and the radius of the sphere, r. (Type an exact answer, using л as needed.) Differentiate both sides of the equation with respect to t. dV dt dr dt (Type an exact answer, using it as needed. Type an expression using r as the variable.) The balloon's radius is increasing at a rate of (Simplify your answer.) at the instant the radius is 2 ft.
A spherical balloon is inflating with helium at a rate of 64 increasing at the instant the radius is 2 ft? ft min How fast is the balloon's radius Write an equation relating the volume of a sphere, V, and the radius of the sphere, r. (Type an exact answer, using л as needed.) Differentiate both sides of the equation with respect to t. dV dt dr dt (Type an exact answer, using it as needed. Type an expression using r as the variable.) The balloon's radius is increasing at a rate of (Simplify your answer.) at the instant the radius is 2 ft.
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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![A spherical balloon is inflating with helium at a rate of 64
increasing at the instant the radius is 2 ft?
ft
min
How fast is the balloon's radius
Write an equation relating the volume of a sphere, V, and the radius of the sphere, r.
(Type an exact answer, using л as needed.)
Differentiate both sides of the equation with respect to t.
dV
dt
dr
dt
(Type an exact answer, using it as needed. Type an expression using r as the variable.)
The balloon's radius is increasing at a rate of
(Simplify your answer.)
at the instant the radius is 2 ft.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b54cbd5-e9a4-4e27-8866-ff5cac671566%2F479ffc13-e173-4802-b759-36fd6c8f9500%2Fe6k04k8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A spherical balloon is inflating with helium at a rate of 64
increasing at the instant the radius is 2 ft?
ft
min
How fast is the balloon's radius
Write an equation relating the volume of a sphere, V, and the radius of the sphere, r.
(Type an exact answer, using л as needed.)
Differentiate both sides of the equation with respect to t.
dV
dt
dr
dt
(Type an exact answer, using it as needed. Type an expression using r as the variable.)
The balloon's radius is increasing at a rate of
(Simplify your answer.)
at the instant the radius is 2 ft.
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