Pre-Algebra : Volume of a Cone

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #21 : Volume

Solve for the volume of a cone with a circular area of  and a height of .

Possible Answers:

Correct answer:

Explanation:

Write the formula for the volume of a cone.

The area of the circular base is represented as  in the equation.  

Substitute  in replacement of this term.  Substitute the height into the volume formula as well.

Multiply out each term and leave  as is.

Example Question #22 : Volume

You have an ice cream cone.  You want to fill the cone completely with ice cream.  What is the volume of ice cream you can fill it with if the height of the cone is 12cm and the diameter is 8cm?

Possible Answers:

Correct answer:

Explanation:

The formula to find the volume of a cone is

where r is the radius and h is the height.  We know the diameter of the ice cream cone is 8cm.  We also know the radius is half the diameter, so the radius is 4cm.  We know the height is 12cm.  Using substitution, we get

 

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