This study notes covers Worked Example: Sphere Volume within Volume & Surface Area of Spheres for GCSE Mathematics. Revise Volume & Surface Area of Spheres in Geometry & Measures for GCSE Mathematics with 12 exam-style questions and 3 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 3 of 4 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.
Worked Example: Sphere Volume
Find the volume of a sphere with radius 6cm.
Solution
V = (4/3)πr³
V = (4/3) × π × 6³
V = (4/3) × π × 216 = 288π
= 904.8 cm³ (1 d.p.)
Practice questions for Volume & Surface Area of Spheres
What is the formula for the volume of a sphere with radius r?
Explain why the total surface area of a solid hemisphere with radius r is 3πr². You must refer to both parts of the surface.