What is the relationship between the volume of a cone and a cylinder with the same base and height?

Volume of Cones and Cylinders

Interactive Video
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Mathematics
•
6th - 7th Grade
•
Hard

Thomas White
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9 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A cone has twice the volume of a cylinder.
A cone has one-third the volume of a cylinder.
A cone has the same volume as a cylinder.
A cone has half the volume of a cylinder.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is the correct formula for the volume of a cone?
Volume = 1/2 * pi * radius^2 * height
Volume = pi * radius^2 * height
Volume = 1/3 * pi * radius^2 * height
Volume = pi * radius * height
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the radius if you know the diameter of a cone's base?
Square the diameter
Subtract 2 from the diameter
Divide the diameter by 2
Multiply the diameter by 2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a cone and a cylinder have the same base and height, how many cones can fit into the cylinder?
Four cones
Two cones
One cone
Three cones
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the practical example, what value is used for pi when estimating the volume of a cone?
3.0
3.14159
22/7
3.14
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When asked to write the volume in terms of pi, what should you do?
Use 22/7 for pi
Ignore pi in the calculation
Use 3.14 for pi
Leave pi in the answer
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How should you round the volume of a cone to the nearest hundredth?
Round to the nearest whole number
Do not round
Round to two decimal places
Round to one decimal place
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of calculating the volume of a cone in the water capacity example?
To determine how much water it can hold
To find the surface area
To calculate the weight of the cone
To find the slant height
9.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many smaller tanks can be filled from the larger tank's volume if each smaller tank holds 500 cubic feet?
10 tanks
12 tanks
15 tanks
20 tanks
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