
Understanding Water Flow in a Conic Tank

Interactive Video
•
Mathematics, Science
•
9th - 12th Grade
•
Hard

Ethan Morris
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the rate at which water is leaking from the tank?
8,200 cubic centimeters per minute
4 cubic centimeters per minute
24 cubic centimeters per minute
13 cubic centimeters per minute
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the height of the tank in centimeters?
1,300 centimeters
1,500 centimeters
200 centimeters
400 centimeters
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it necessary to convert meters to centimeters in this problem?
To simplify the problem
To match the volume formula
To make calculations easier
To ensure all measurements are in the same unit
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What formula is used to calculate the volume of the conic tank?
V = π r² h
V = 1/2 π r² h
V = 2/3 π r² h
V = 1/3 π r² h
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How are similar triangles used in this problem?
To calculate the volume of the tank
To find the diameter of the tank
To determine the rate of water leakage
To relate the radius and height of the water level
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between r and h derived from similar triangles?
r = (2/13)h
r = (13/2)h
r = (2/3)h
r = (1/2)h
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the volume formula with respect to time?
dv/dt = 1/2 π r² dr/dt
dv/dt = 2/3 π r² dr/dt
dv/dt = 1/3 π r² dr/dt
dv/dt = 13/6 π r² dr/dt
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