A1.NQ.B.3c
Use units within problems.
Example Problems
The radius of a sphere is decreasing at a rate of 2 feet per minute. At a certain instant, the radius is 15 feet.
What is the rate of change of the volume of the sphere at that instant (in cubic feet per minute)?
What is the rate of change of the volume of the sphere at that instant (in cubic feet per minute)?
The radius of a sphere is increasing at a rate of 0.25 meters per hour. At a certain instant, the radius is 6 meters.
What is the rate of change of the volume of the sphere at that instant (in cubic meters per hour)?
What is the rate of change of the volume of the sphere at that instant (in cubic meters per hour)?
The radius of a sphere is increasing at a rate of 5 kilometers per day. At a certain instant, the radius is 2 kilometers.
What is the rate of change of the volume of the sphere at that instant (in cubic kilometers per day)?
What is the rate of change of the volume of the sphere at that instant (in cubic kilometers per day)?
Khan Academy Resources
1-on-1 AI tutoring aligned to A1.NQ.B.3c. Instant help for students, real-time insights for teachers.
Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.
Free for teachers, forever →