AP DC Calculus AB - Related Rates Final Exam Review

Front

What is the formula for the volume of a sphere?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between the radius and volume of a sphere in terms of related rates?

Back

Front

How do you find the rate of change of the volume of a sphere when the radius is changing?

Back

Front

What is the rate of change of the volume of a spherical balloon when the radius is decreasing?

Back

Front

How do you calculate the rate of change of the diameter of a balloon?

Back

Front

What is the formula for the volume of a cylinder?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you find the rate of change of height in a cylinder being filled?

Back

Front

What is the Pythagorean theorem and how is it used in related rates problems?

Back

Tags

CCSS.8.G.B.8

Front

How do you find the rate of change of the distance between two moving objects?

Back

Front

What is the significance of negative rates in related rates problems?

Back

A negative rate indicates that a quantity is decreasing, such as the radius of a melting snowball or the height of a liquid in a container.