A cylindrical tank with radius 4 m is being filled with water at a rate of 2 m/min. How fast is the height of the waterincreasing? Step 1 If h is the water's height, the volume of the water is V = nr?h. We must find dV/dt. Differentiating both sides of the equation gives the following. dv dh %3D dt dt

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
icon
Related questions
Question

Solve whole question and step 1

A cylindrical tank with radius 4 m is being filled with water at a rate of 2 m/min. How fast is the height of the
waterincreasing?
Step 1
If h is the water's height, the volume of the water is V = ar?h. We must find dV/dt. Differentiating both sides
of the equation gives the following.
dv
4p
dt
dt
Submit
Skip (you cannot come back)
P Type here to search
1)
Transcribed Image Text:A cylindrical tank with radius 4 m is being filled with water at a rate of 2 m/min. How fast is the height of the waterincreasing? Step 1 If h is the water's height, the volume of the water is V = ar?h. We must find dV/dt. Differentiating both sides of the equation gives the following. dv 4p dt dt Submit Skip (you cannot come back) P Type here to search 1)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning