SUMMARY
The surface area of a solid cylinder cut in half lengthwise can be calculated using the formula SA = 2(pi)(r^2) + L(pi)(r). For a cylinder with a radius of 5.0 cm and a length of 10.0 cm, the correct surface area for one half includes the area of two semicircular ends and the rectangular cut surface. The initial confusion regarding units arose from an incorrect conversion to cubic inches, as surface area should be measured in square units, not cubic.
PREREQUISITES
- Understanding of geometric formulas for surface area
- Familiarity with the properties of cylinders
- Basic knowledge of unit conversions (cm to in)
- Ability to perform calculations involving pi (π)
NEXT STEPS
- Review the derivation of surface area formulas for different geometric shapes
- Practice unit conversions between centimeters and inches
- Explore the concept of surface area in relation to volume
- Investigate common mistakes in geometry calculations and how to avoid them
USEFUL FOR
Students studying geometry, educators teaching surface area concepts, and anyone needing clarification on geometric calculations and unit conversions.