Let V represent the volume of a sphere with radiusr mm. Write an equation for V (in mm) in terms of r. V(r) = mm3 Find the radius of a sphere (in mm) when its diameter is 40 mm. r = mm The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 mm? (Round your answer to two decimal places.) mm3/s
Let V represent the volume of a sphere with radiusr mm. Write an equation for V (in mm) in terms of r. V(r) = mm3 Find the radius of a sphere (in mm) when its diameter is 40 mm. r = mm The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 mm? (Round your answer to two decimal places.) mm3/s
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.6: Wind And Water Current Problems
Problem 2P
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![Let V represent the volume of a sphere with radius r mm. Write an equation for V (in mm³) in terms of r.
V(r) =
mm3
Find the radius of a sphere (in mm) when its diameter is 40 mm.
r =
mm
The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in mm³/s) when the diameter is 40 mm? (Round your answer to two decimal places.)
mm3/s](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc4971f23-5570-4fed-8cd6-5e1a07d18a42%2F956de47f-dba5-4f2a-93cb-31e9b92bb424%2Fdqacmdq_processed.png&w=3840&q=75)
Transcribed Image Text:Let V represent the volume of a sphere with radius r mm. Write an equation for V (in mm³) in terms of r.
V(r) =
mm3
Find the radius of a sphere (in mm) when its diameter is 40 mm.
r =
mm
The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in mm³/s) when the diameter is 40 mm? (Round your answer to two decimal places.)
mm3/s
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