Let V represent the volume of a sphere with radius r mm. Write an equation for V (in mm³) in terms of r. mm³ V(r) = Find the radius of a sphere (in mm) when its diameter is 60 mm. r = mm The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing (in mm³/s) when the diameter is 60 mm? (Round your answer to two decimal places.) mm³/s DETAILS SCALCCC5 4.1.019. MY NOTES ASK YOUR TEACHER At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing north at 35 km/h. How fast (in km/hr) is the distance between the ships changing at 4:00 p.m.? (Round your answer to three decimal places.)
Let V represent the volume of a sphere with radius r mm. Write an equation for V (in mm³) in terms of r. mm³ V(r) = Find the radius of a sphere (in mm) when its diameter is 60 mm. r = mm The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing (in mm³/s) when the diameter is 60 mm? (Round your answer to two decimal places.) mm³/s DETAILS SCALCCC5 4.1.019. MY NOTES ASK YOUR TEACHER At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing north at 35 km/h. How fast (in km/hr) is the distance between the ships changing at 4:00 p.m.? (Round your answer to three decimal places.)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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.
mm3
V(r) =
Find the radius of a sphere (in mm) when its diameter is 60 mm.
mm
The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing (in mm³/s) when the diameter is 60 mm? (Round your answer to two decimal places.)
mm³/s
DETAILS
SCALCCC5 4.1.019.
MY NOTES ASK YOUR TEACHER
At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing north at 35 km/h. How fast (in km/hr) is the distance between the ships changing at 4:00 p.m.? (Round
your answer to three decimal places.)
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