Finding the Volume of a Cone
Learning Outcomes
- Find the volume of cones




Volume of a Cone
For a cone with radius and height .
example
Find the volume of a cone with height inches and radius of its base inches. SolutionStep 1. Read the problem. Draw the figure and label it with the given information. | ![]() |
Step 2. Identify what you are looking for. | The volume of the cone |
Step 3. Name. Choose a variable to represent it. | Let = volume. |
Step 4. Translate. Write the appropriate formula. Substitute. (Use for ) | |
Step 5. Solve. | |
Step 6. Check: We leave it to you to check your calculations. | |
Step 7. Answer the question. | The volume is approximately cubic inches. |
try it
[ohm_question]146818[/ohm_question]example
Marty’s favorite gastro pub serves french fries in a paper wrap shaped like a cone. What is the volume of a conic wrap that is inches tall and inches in diameter? Round the answer to the nearest hundredth.Answer: Solution
Step 1. Read the problem. Draw the figure and label it with the given information. Notice here that the base is the circle at the top of the cone. | ![]() |
Step 2. Identify what you are looking for. | The volume of the cone |
Step 3. Name. Choose a variable to represent it. | Let V = volume. |
Step 4. Translate. Write the appropriate formula. Substitute. (Use for , and notice that we were given the distance across the circle, which is its diameter. The radius is inches.) | |
Step 5. Solve. | |
Step 6. Check: We leave it to you to check your calculations. | |
Step 7. Answer the question. | The volume of the wrap is approximately cubic inches. |
try it
[ohm_question]146820[/ohm_question]Contribute!
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