
Maximizing Cylinder Volume in a Sphere
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard
Jennifer Brown
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main objective of the problem discussed in the video?
To minimize the height of a cylinder
To find the surface area of a sphere
To maximize the volume of a cylinder inscribed in a sphere
To calculate the radius of a sphere
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the radius of the sphere in which the cylinder is inscribed?
14 cm
10 cm
16 cm
12 cm
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for the volume of a cylinder?
pi * r * h^2
2 * pi * r * h
pi * r^3
pi * r^2 * h
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What equation relates the radius and height of the cylinder to the radius of the sphere?
r^2 * h^2 = 196
r^2 - h^2/4 = 196
r^2 + h^2/4 = 196
r^2 + h^2 = 196
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the range of the height (h) of the cylinder?
0 to 14
0 to 28
0 to 7
0 to 21
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first derivative of the volume function used to find the maximum?
196 pi - 3h^2/4
196 pi + 3h^2/4
196 pi - h^2/2
196 pi + h^2/2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a negative second derivative indicate about the critical point?
It is undefined
It is an inflection point
It is a maximum
It is a minimum
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