Unit 7 · Class 9 IB MYP · Formula Sheet
3D Geometry Formulas — Class 9 IB MYP
Calculate surface area and volume of pyramids, cones, and spheres; solve composite solid problems.
Key Formulas
Volume of Pyramid
V = \dfrac{1}{3} \times \text{Base Area} \times h
Volume of Cone
V = \dfrac{1}{3}\pi r^2 h
Volume of Sphere
V = \dfrac{4}{3}\pi r^3
SA of Sphere
\text{SA} = 4\pi r^2
CSA of Cone
\pi r l
Worked Examples
1Using: Supplementary Angles
If one angle is 65 degrees, find its supplement.
Step 1: Supplement = 180 - 65
Step 2: = 115 degrees.
Answer: 115 degrees
2Using: Vertically Opposite
Two lines intersect. If one angle is 40 degrees, find the vertically opposite angle.
Step 1: Vertically opposite angles are equal.
Step 2: The angle = 40 degrees.
Answer: 40 degrees
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