Cylindrical Package Volume Calculation

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Questions and Answers

What is the formula used to calculate the volume of a cylindrical package?

  • $V = rac{1}{3} imes ext{base area} imes h$
  • $V = ext{base area} imes h$ (correct)
  • $V = rac{4}{3} imes ext{base area} imes r$
  • $V = ext{base area} imes ext{circumference}$

What is the height of the cylindrical tube-shaped package in inches?

  • 10 (correct)
  • 1.5
  • 15
  • 5

What is the radius of the cylindrical package?

  • 1 inch
  • 1.5 inches (correct)
  • 3 inches
  • 2 inches

What is the approximate volume of the cylindrical tube-shaped package rounded to two decimal places?

<p>70.65 cubic inches (A)</p> Signup and view all the answers

How do you calculate the base area of the cylindrical package?

<p>$ ext{Area} = rac{1}{2} imes ext{radius} imes h$ (D)</p> Signup and view all the answers

Flashcards

Cylinder Volume Formula

Volume of a cylinder is calculated using the formula: V = πr²h, where V is volume, r is radius, and h is height.

Cylinder Radius

The cylinder's radius is half its diameter, measured from the center to the edge.

Calculate Cylinder Volume

Use the formula V =πr²h to find the quantity of space a cylindrical object can hold.

Cylinder Height

The height of a cylinder is the vertical distance from one base to the other.

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Approximate Cylinder Volume

In the given example, the calculated volume of a cylinder is approximately 70.69 cubic inches.

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Study Notes

Cylindrical Package Volume

  • Shape: Cylindrical tube
  • Diameter: 10 inches
  • Radius: 1.5 inches (given)
  • Volume: To calculate, use the formula for the volume of a cylinder: Ï€ * radius² * height
  • Missing Height: The height of the package is not given but is needed.
  • Volume Calculation: Unable to calculate the volume without the height.
  • Possible Solutions: The problem provides possible answers but the missing information prevents an accurate calculation.

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