Calculating the Volume of Cylinders

This video tutorial covers the calculation of the volume of cylinders, including the formula and example problems. It also demonstrates how to find the height of a cylinder when given the volume and includes practical problem-solving examples like the salsa jar and water cooler scenarios. The tutorial emphasizes the importance of using the correct radius and provides step-by-step guidance for each calculation.

What is the formula for the volume of a cylinder?

• Pi + radius + height

• Radius squared + height

• Pi * radius squared * height

• Pi * radius + height

If the radius of a cylinder is 3 meters and the height is 6 meters, what is the volume?

• 180 m^3

• 200 m^3

• 150 m^3

• 169.56 m^3

What is the correct way to find the volume of a cylinder?

• Pi * radius squared * height

• Pi * radius * height

• Radius squared * height

• Pi * radius + height

If the height of a cylinder is doubled, how does the volume change?

• It quadruples

• It doubles

• It remains the same

• It halves

What is the volume of a cylinder with a radius of 4 feet and height of 15 feet?

• 750 ft^3

• 700 ft^3

• 800 ft^3

• 753.6 ft^3

How do you find the height of a cylinder if the volume and radius are known?

• Subtract the radius from the volume and divide by pi

• Add the volume to the product of pi and radius squared

• Multiply the volume by the radius and then by pi

• Divide the volume by the product of pi and radius squared

If the volume of a cylinder is 314 cm^3 and the radius is 5 cm, what is the height?

• 7 cm

• 4 cm

• 6 cm

• 5 cm

How much salsa is missing from the jar if the initial volume was 785 cm^3 and the remaining volume is 314 cm^3?

• 485 cm^3

• 471 cm^3

• 500 cm^3

• 450 cm^3

What is the converted volume in gallons if the original volume was 1.3345 cubic feet?

• 10 gallons

• 15 gallons

• 8 gallons

• 12 gallons

What mistake must be avoided when calculating the volume of a cylinder?

• Ignoring the value of pi

• Using radius instead of diameter

• Using diameter instead of radius

• Multiplying height by radius