Surface Area and Volume of Spheres
Deriving and applying formulas for the surface area and volume of spheres and hemispheres.
About This Topic
Deriving and applying formulas for the surface area and volume of spheres and hemispheres.
Key Questions
- Explain why the surface area of a sphere is four times the area of its great circle.
- Compare the volume of a sphere to that of a hemisphere.
- Design a problem involving the amount of material needed to cover a spherical object.
Active Learning Ideas
See all activities→Activities & Teaching Strategies
See all activities
Planning templates for Mathematics
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
Unit PlannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
RubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
More in Mensuration and Spatial Measurement
Area of Triangles using Heron's Formula
Calculating area when the height is unknown, focusing on the derivation and application of the semi perimeter method.
8 methodologies
Surface Area of Cuboids and Cubes
Deriving and applying formulas for the lateral and total surface areas of cuboids and cubes.
8 methodologies
Volume of Cuboids and Cubes
Calculating the volume of cuboids and cubes and understanding its relationship to capacity.
8 methodologies
Surface Area of Cylinders
Deriving and applying formulas for the curved and total surface areas of cylinders.
8 methodologies
Volume of Cylinders
Calculating the volume of cylinders and solving practical problems involving cylindrical objects.
8 methodologies
Surface Area of Cones
Deriving and applying formulas for the curved and total surface areas of cones.
8 methodologies