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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

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: π * 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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Description

This quiz focuses on calculating the volume of a cylindrical package when given its diameter and radius, but missing the height. Participants will explore the necessary formula for volume calculation and discuss the implications of missing information. Test your understanding of geometric concepts related to volume!