Math Problem Statement
air is being pumped into a spherical balloon so that its volume increases at a rate of 100 cm^3 s^-1. How fast is the radius of the balloon increasing when the diameter is 50cm?
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Calculus
Related Rates
Geometry
Formulas
Volume of a sphere: V = (4/3)πr^3
Theorems
Chain Rule in Calculus
Suitable Grade Level
Grades 11-12
Related Recommendation
Related Rates Problem: Helium Balloon Radius Rate of Change Calculation
Related Rates: Finding the Rate of Change of a Balloon's Radius
Calculate Sphere Volume Increase Rate When Diameter is 60mm
Instantaneous Volume Change of a Sphere with Exponentially Increasing Radius
Instantaneous Rate of Change of Balloon Volume at t = 2 Seconds