Related Rates in Cone Problems
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Thomas White
FREE Resource
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27 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the rate at which water is draining from the funnel?
400 cm³ per minute
500 cm³ per minute
600 cm³ per minute
700 cm³ per minute
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the base radius of the cone-shaped funnel?
10 cm
25 cm
20 cm
15 cm
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the height of the cone-shaped funnel?
110 cm
100 cm
90 cm
80 cm
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the volume rate given in the problem?
It determines the time taken to empty the funnel
It is used to find the rate of change of height
It helps in calculating the base area of the cone
It establishes a relationship between radius and height
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the importance of the base radius in this problem?
It helps in calculating the volume of the cone
It determines the time taken to empty the funnel
It establishes a relationship between height and volume
It is used to find the rate of change of height
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does 'dH/dt' represent in this problem?
Rate of change of time
Rate of change of height
Rate of change of radius
Rate of change of volume
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving the problem?
Determine the time taken to empty the funnel
Find the rate of change of radius
Draw the funnel and set up the related rates formula
Calculate the volume of the cone
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