Surface Areas and Volumes of Spheres - Lesson 11.7

Learn to calculate surface areas and volumes of spheres in this comprehensive mathematics lecture and problem-solving session. Master the fundamental formulas for spheres, including surface area (SA = 4πr^2) and volume (V = (4/3)πr^3), along with their hemispheric variations. Through a 47-problem set, practice applying these concepts to real-world scenarios, including astronomical objects and composite solids. Gain practical understanding through memorable analogies, such as comparing baseball stitching patterns to visualize surface area calculations. Work through progressively challenging problems that build proficiency in geometric calculations and critical thinking about three-dimensional objects. Download accompanying textbook materials and follow along with timestamped sections covering everything from basic calculations to complex applications.