
Understanding the Rate of Change in a Cone's Height

Interactive Video
•
Mathematics, Science
•
10th - 12th Grade
•
Hard

Liam Anderson
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What shape does the gravel form as it is being pumped from the conveyor belt?
A cylinder
A pyramid
A sphere
A right circular cone
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
At what rate is the volume of the cone increasing?
15 cubic feet per minute
25 cubic feet per minute
35 cubic feet per minute
45 cubic feet per minute
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between the diameter and height of the cone?
The diameter is half the height
The diameter is twice the height
The diameter is three times the height
The diameter and height are equal
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which mathematical technique is used to differentiate the volume formula with respect to time?
Numerical differentiation
Partial differentiation
Implicit differentiation
Explicit differentiation
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What rule is applied when differentiating the product of R squared and H?
Product rule
Chain rule
Power rule
Quotient rule
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of the radius when the height of the cone is 18 feet?
18 feet
12 feet
9 feet
6 feet
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What substitution is made for DR/DT in the equation?
1/3 DH/DT
1/4 DH/DT
1/2 DH/DT
2 DH/DT
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