20S Applied Math Mr. Knight – Killarney School Slide 1 Unit: Real Number System Lesson: 2D3D-L4 Surface Area and Volume of a Sphere Surface Area and Volume of a Sphere Learning Outcome B-4 2D3D-L4 Objectives: To solve problems involving the evaluation of surface area and volume of a sphere.

20S Applied Math Mr. Knight – Killarney School Slide 2 Unit: Real Number System Lesson: 2D3D-L4 Surface Area and Volume of a Sphere A sphere is a 3D figure that is circular in shape, e.g., a ball. All points on the sphere are equidistant from a single point inside the sphere called the centre. Theory –Surface Area and Volume of a Sphere Surface Area = 4πr 2 Volume = (4/3)πr 3

20S Applied Math Mr. Knight – Killarney School Slide 3 Unit: Real Number System Lesson: 2D3D-L4 Surface Area and Volume of a Sphere Find the volume and surface area of a sphere with radius 12 cm. Example 1 Surface Area = 4πr 2 Volume = (4/3)πr 3

20S Applied Math Mr. Knight – Killarney School Slide 4 Unit: Real Number System Lesson: 2D3D-L4 Surface Area and Volume of a Sphere Find the volume of a volleyball if its circumference is 26". Example 2 Surface Area = 4πr 2 Volume = (4/3)πr 3

20S Applied Math Mr. Knight – Killarney School Slide 5 Unit: Real Number System Lesson: 2D3D-L4 Surface Area and Volume of a Sphere Find the volume and surface area of a storage tank if a cylinder is capped at both ends by half spheres as shown: Example 3 Surface Area of a Sphere = 4πr 2 Volume of a Sphere = (4/3)πr 3