Math Problem Statement

Sean used a cylindrical container to store his medicine.

Which measurement is closest to the lateral surface area in square centimeters of the container? A.164.9 cm2

B.277.0 cm2

C.138.5 cm2

D.191.3 cm2

Solution

To find the lateral surface area of a cylindrical container, we use the formula:

Lateral Surface Area=2πrh\text{Lateral Surface Area} = 2 \pi r h

where:

  • rr is the radius of the cylinder's base,
  • hh is the height of the cylinder.

If you provide the values of rr and hh, I can calculate the lateral surface area and find the closest measurement.

Would you like to continue with the calculations?


  1. How does the radius affect the surface area of a cylinder?
  2. What is the difference between lateral surface area and total surface area of a cylinder?
  3. How can the volume of a cylinder be calculated?
  4. How would the lateral surface area change if the cylinder’s height doubled?
  5. Why is π\pi a key factor in circular measurements?

Tip: Knowing the formula for lateral surface area helps solve many cylinder-related problems quickly.

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Math Problem Analysis

Mathematical Concepts

Geometry
Surface Area of Cylinders

Formulas

Lateral Surface Area = 2πrh

Theorems

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Suitable Grade Level

Grades 6-8