Math Problem Statement

What is the volume of the container of water? (Use 𝜋 = 22/7 , Cylinder volume formula = 𝜋𝑗²𝑡)

Solution

To calculate the volume of a cylindrical container filled with water, we use the formula for the volume of a cylinder:

V=πr2hV = \pi r^2 h

Where:

  • VV is the volume,
  • rr is the radius of the base,
  • hh is the height of the cylinder,
  • π=227\pi = \frac{22}{7}.

Please provide the values for the radius rr and height hh of the cylinder, and I can calculate the volume for you.

Would you like to provide those details, or should I assume values?


Here are 5 related questions:

  1. How does the radius affect the volume of the cylinder if the height is constant?
  2. How would the volume change if the height doubled but the radius remained the same?
  3. What is the relation between surface area and volume for a cylinder?
  4. Can this formula be applied to cones or spheres? Why or why not?
  5. How would you calculate the volume if the container is only partially filled?

Tip: Always use consistent units for all measurements (e.g., meters or centimeters).

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Math Problem Analysis

Mathematical Concepts

Geometry
Cylindrical Volume Calculation

Formulas

Cylinder Volume Formula: V = 𝜋r²h

Theorems

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Suitable Grade Level

Grades 6-8