Math Problem Statement

Also π× r² × h?

Solution

The formula you are referring to, π×r2×h\pi \times r^2 \times h, is the formula for the volume of a cylinder. Here’s the breakdown:

  • π\pi is a constant (approximately 3.14159).
  • rr is the radius of the base of the cylinder.
  • hh is the height of the cylinder.

So, the volume of a cylinder is calculated by multiplying the area of the base (which is πr2\pi r^2) by the height hh.

Volume of a Cylinder:

V=πr2hV = \pi r^2 h

Would you like to go over a specific example or any details about this formula? Feel free to ask!

Here are 5 related questions to explore:

  1. How do you derive the formula for the volume of a cylinder?
  2. What is the relationship between the surface area and volume of a cylinder?
  3. How do you calculate the surface area of a cylinder?
  4. What happens to the volume of a cylinder if the radius is doubled?
  5. How does the formula for the volume of a cylinder relate to the formula for the volume of a cone?

Tip: Always double-check the units you're using for radius and height to ensure the final volume is in cubic units.

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume of a Cylinder

Formulas

π × r² × h

Theorems

Volume of a Cylinder

Suitable Grade Level

Grades 6-8