Class 10 Math: Surface Areas and Volumes Solved Examples & Step Solutions

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 10 Surface Areas and Volumes.

Step-by-Step Solved Problems

Example 1: Recasting Sphere to Cylinder

Worked Solution Steps:

1. Volume of sphere = (4/3)*pi*(4.2)³.
2. Volume of cylinder = pi*(6)²*h.
3. Equate volumes: (4/3)*pi*(4.2)³ = pi * 36 * h.
4. Divide by pi: (4/3) * 74.088 = 36 * h => 98.784 = 36 * h.
5. Divide: h = 98.784 / 36 = 2.744 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.