IGCSE Maths / Circles, cylinders, cones and spheres

Hemispheres and compound solids

Edexcel International GCSE Maths (4MA1), chapter 12: Circles, cylinders, cones and spheres, specification point 4.10a. Part of the full course.

Read the revision notes · IGCSE Maths past papers

A hemisphere has half a sphere’s volume and half its curved surface area, but its total surface area also includes the flat circle. For compound solids, add the volumes, but count only the surfaces on the outside.

More lessons in Circles, cylinders, cones and spheres

• Circumference of a circle
• Area of a circle
• Semicircles: perimeter and area
• Compound area with circles
• Arc length of a sector
• Area of a sector
• Perimeter of a sector
• Reverse sector problems
• Reverse circle problems
• Volume of a cylinder
• Surface area of a cylinder
• Leaving an answer in terms of pi
• Volume of a cone
• Surface area of a cone
• Volume of a sphere
• Surface area of a sphere
• Frustums and truncated cones
• Reverse volume and surface area problems