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Volume & Surface Area of a Truncated Cone

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Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

What is a truncated cone?

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1. If R is the big radius of a truncated cone, r is the little radius, h is the height, and s is the slant height, what is the formula for the volume of a truncated cone?

2. If R is the big radius of a truncated cone, r is the little radius, h is the height, and s is the slant height, what is the formula for the surface area of the truncated cone?

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About This Quiz & Worksheet

This quiz and worksheet offers the chance to check what you know about finding the surface area and volume of a truncated cone. You will review what a truncated cone is and solve some sample problems.

Quiz & Worksheet Goals

This quiz and worksheet revisits what you know about:

  • Defining a truncated cone
  • How to find the volume of a truncated cone
  • The formula for the surface area of a truncated cone
  • Solving for the volume and surface area of sample truncated cone problems

Skills Practiced

  • Information recall - see if you can recall what a truncated cone is and how it differs from a regular cone
  • Knowledge application - review what you remember about the formulas for finding the volume and surface area of truncated cones to answer questions about them
  • Problem solving - use what you know about finding the surface area and volume of truncated cones to solve problems for the correct answers

Additional Learning

If you find you need a deeper review of this topic, you can learn more in the lesson, Volume & Surface Area of a Truncated Cone. This lesson shares more details about:

  • How a truncated cone is different from a cone, with a visual reference
  • Identifying the parts of a truncated cone
  • How to use the parts to find the volume of a truncated cone
  • More sample volume and surface area problems
  • Figuring out how much material you need to make a truncated cone
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