Related Rates and Ladder Problems
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Thomas White
FREE Resource
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24 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main focus of related rates problems?
Measuring the distance between two points.
Determining the constant speed of an object.
Calculating the total volume of a shape.
Finding the rate of change of one variable with respect to another.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the balloon example, what is easier to measure directly?
The change in radius.
The change in volume.
The change in surface area.
The change in diameter.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving the balloon problem?
Calculate the diameter.
Measure the change in volume.
Measure the change in radius.
Calculate the surface area.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the rate of change of volume in the balloon problem?
200 cubic centimeters per second.
150 cubic centimeters per second.
50 cubic centimeters per second.
100 cubic centimeters per second.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What mathematical concept is used to relate the volume and radius of the balloon?
Linear equations.
Volume formula for a sphere.
Implicit differentiation.
Pythagorean theorem.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for the volume of a sphere?
V = π r^2
V = π r^2 h
V = 4/3 π r^3
V = 2 π r h
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What rule is applied to differentiate the volume formula with respect to time?
Chain rule.
Quotient rule.
Product rule.
Power rule.
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