Formulas and units: Volume of a pool | Working with units | Algebra I | Khan Academy

TL;DR

Learn how to find the volume of a cylindrical wading pool by correctly converting units of measurement.

Transcript

• [Instructor] We're told that Marvin has an inflatable wading pool in his back yard. The pool is cylindrical with a base area of four square meters and a height of 60 centimeters. What is the volume of the pool in cubic meters? Pause this video and see if you can figure that out. All right, now let's work through this together. And let's just firs... Read More

Key Insights

• 🤒 Marvin has an inflatable cylindrical wading pool with a base area of 4 square meters and a height of 60 centimeters.
• 🇦🇪 Multiplying the base area by the height without converting units appropriately would result in a volume with odd unit combinations.
• 🤒 To convert centimeters to meters, divide the number of centimeters by 100.

Questions & Answers

Q: What is the shape of Marvin's wading pool?

Marvin's wading pool has a cylindrical shape.

Q: How is the volume of a cylinder calculated?

The volume of a cylinder is determined by multiplying the base area of the cylinder by its height.

Q: Why is it important to convert units correctly in this calculation?

Converting units correctly ensures that the final answer is in the desired unit (cubic meters in this case) and avoids strange unit combinations.

Q: What is the correct volume of Marvin's wading pool?

The correct volume of Marvin's wading pool is 2.4 cubic meters.

Summary & Key Takeaways

• Marvin has an inflatable wading pool with a cylindrical shape, a base area of 4 square meters, and a height of 60 centimeters.

• To find the volume, some may mistakenly multiply the base area by the height without converting units correctly.

• By converting the height from centimeters to meters and then correctly multiplying the base area by the height, the volume of the pool is determined to be 2.4 cubic meters.