A cancer tissue is in the shape of a sphere whose radius is increasing at the rate of 2 mm per day. How fast is its surface area increasing when the radius is 10 mm? O a. 320t mm²/day O b. 120t mm²/day O c. 80rt mm2/day O d. 160rt mm²/day

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
icon
Related questions
Question
A cancer tissue is in the shape of a sphere whose radius is increasing at the rate of 2 mm per day. How fast is
its surface area increasing when the radius is 10 mm?
O a.
320Tt mm2/day
O b. 120t mm²/day
O c. 80rt mm²/day
O d. 160rt mm²/day
A conical tank of water, 10 ft high with radius of 6 ft, is leaking at the bottom at the rate of 10 cubic feet per
minute. How fast is the depth of the water decreasing when the height is 6 ft?
O a.
-0.75 ft/min
O b. -0.25 ft/min
O c. -0.60 ft/min
O d. -0.35 ft/min
Transcribed Image Text:A cancer tissue is in the shape of a sphere whose radius is increasing at the rate of 2 mm per day. How fast is its surface area increasing when the radius is 10 mm? O a. 320Tt mm2/day O b. 120t mm²/day O c. 80rt mm²/day O d. 160rt mm²/day A conical tank of water, 10 ft high with radius of 6 ft, is leaking at the bottom at the rate of 10 cubic feet per minute. How fast is the depth of the water decreasing when the height is 6 ft? O a. -0.75 ft/min O b. -0.25 ft/min O c. -0.60 ft/min O d. -0.35 ft/min
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning