Chapter 13 · Class 9 CBSE · Formula Sheet

Surface Areas & Volumes Formulas — Class 9 CBSE

Calculate surface area and volume of cubes, cuboids, cylinders, cones, and spheres.

Key Formulas

CSA of Cone

\text{CSA} = \pi r l

TSA of Cone

\text{TSA} = \pi r(r + l)

Volume of Cone

V = \dfrac{1}{3}\pi r^2 h

Slant Height of Cone

l = \sqrt{r^2 + h^2}

Surface Area of Sphere

\text{SA} = 4\pi r^2

Volume of Sphere

V = \dfrac{4}{3}\pi r^3

CSA of Hemisphere

\text{CSA} = 2\pi r^2

TSA of Hemisphere

\text{TSA} = 3\pi r^2

Volume of Hemisphere

V = \dfrac{2}{3}\pi r^3

Worked Examples

1Using: Area of Rectangle

Find the area of a rectangle with length 12 cm and breadth 5 cm.

Step 1: Area = l x b

Step 2: = 12 x 5 = 60 sq. cm.

Answer: 60 sq. cm

2Using: Perimeter of Square

Find the perimeter of a square with side 8 m.

Step 1: Perimeter = 4a

Step 2: = 4 x 8 = 32 m.

Answer: 32 m

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Frequently Asked Questions

How many formulas are in Class 9 CBSE Surface Areas & Volumes?+
There are 9 formulas in the Surface Areas & Volumes chapter for Class 9 CBSE. Each formula is essential for solving problems in this topic.
How to remember Surface Areas & Volumes formulas easily?+
Practice regularly with worked examples, group related formulas together, and use SparkEd's interactive practice mode to reinforce your memory through problem-solving.
Are these Surface Areas & Volumes formulas enough for exams?+
Yes, these formulas cover the complete CBSE Class 9 syllabus for Surface Areas & Volumes. Practice applying them to different types of questions for full exam readiness.

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