Class 9 Math: Surface Areas and Volumes Solved Examples & Step Solutions
NexPro Tools Mathematics TeamJune 5, 20266 min read
The best way to gain confidence in mathematics is by studying solved examples. By analyzing how formulas are applied step-by-step, you learn how to tackle complex questions in your homework and exams. Let's walk through standard worked examples for Class 9 Surface Areas and Volumes.
Step-by-Step Solved Problems
Example 1: Volume of a Sphere
Question: Find the volume of a sphere with radius 3 cm. (Use pi = 22/7)
Worked Solution Steps:
- Identify radius: r = 3 cm.
- Apply formula: V = (4/3) * pi * r³.
- Calculation: (4/3) * (22/7) * 3 * 3 * 3 = 4 * (22/7) * 9 = 792/7 ≈ 113.14 cubic cm.
Final Answer: 113.14 cubic cm
Self-Practice Method
When studying these examples, cover the solution with a sheet of paper and attempt to solve the question on your own. If you get stuck, reveal the steps one by one to identify where your logic deviated. This active recall method builds long-term problem-solving skills.
📚 Class 9 Math Resource Hub for Surface Areas and Volumes:
• 🧮 Interactive Solver: Solve Surface Areas and Volumes Problems - Verify steps in real-time.
• 📝 Timed Practice Quiz: Take Surface Areas and Volumes Online Quiz - Test your speed and concepts.
• 📄 Printable Worksheet: Download Surface Areas and Volumes PDF Worksheet - Interactive problems with answers.
• 📐 Formula Sheet: View Surface Areas and Volumes Key Equations - Complete revision references.
• 🔄 Next Topic Guide: Statistics Study Notes
• 🎓 Syllabus Overview: Class 9 Mathematics Portal - Access all chapter guides.