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A cone and a cylinder have the same base radius and height. How do their volumes
A cone and a cylinder have the same base radius and height. How do their volumes compare?
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Practice Questions
1 question
Q1
A cone and a cylinder have the same base radius and height. How do their volumes compare?
Cone has half the volume of the cylinder
Cone has the same volume as the cylinder
Cone has double the volume of the cylinder
Cone has one-third the volume of the cylinder
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Volume of cone = (1/3)πr²h; Volume of cylinder = πr²h. Therefore, cone's volume is one-third of the cylinder's volume.
Questions & Step-by-step Solutions
1 item
Q
Q: A cone and a cylinder have the same base radius and height. How do their volumes compare?
Solution:
Volume of cone = (1/3)πr²h; Volume of cylinder = πr²h. Therefore, cone's volume is one-third of the cylinder's volume.
Steps: 5
Show Steps
Step 1: Understand that both the cone and the cylinder have the same base radius (r) and height (h).
Step 2: Write down the formula for the volume of a cone: Volume of cone = (1/3)πr²h.
Step 3: Write down the formula for the volume of a cylinder: Volume of cylinder = πr²h.
Step 4: Compare the two volumes: The volume of the cone is (1/3) of the volume of the cylinder.
Step 5: Conclude that the volume of the cone is one-third of the volume of the cylinder.
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