Unpacking Related Rates_

Front

What is the formula for the surface area of a sphere?

Back

SA = 4 pi r^2

Front

What is the formula for the volume of a cylinder?

Back

V = pi r^2 h

Front

What is the relationship between the radius and diameter of a circle?

Back

Diameter = 2 * Radius

Front

What units should we use for the change in surface area with respect to time?

Back

ft^2/min

Front

If a train travels at a constant speed of 60 miles per hour, how far will it travel in 3 hours?

Back

180 miles

Front

What is the derivative of the area of a circle with respect to its radius?

Back

dA/dr = 2 pi r

Front

What is the concept of related rates in calculus?

Back

Related rates involve finding the rate at which one quantity changes in relation to another.

Front

How do you find the height of a cylinder given its volume and radius?

Back

h = V / (pi r^2)

Front

What is the formula for the lateral surface area of a cylinder?

Back

LSA = 2 pi r h

Front

What is the relationship between the rates of change of volume and height of a cylinder?

Back

dV/dt = pi r^2 * dh/dt