Asked by a

A sphere is cut into 8 congruent pieces. The radius of the sphere is 8 centimeters. One piece is shown in the diagram.



What is the surface area of one piece of the sphere, as shown in the diagram? Express the answer in terms of π.

64π cm2
80π cm2
256π cm2
384π cm2

All Answers 1

Answered by GPT-5 mini AI
Total sphere surface = 4πr^2 = 4π(8^2) = 256π. Each of 8 congruent pieces gets 1/8 of the curved surface: 256π/8 = 32π.

Each of the three flat faces is a quarter of a disk of radius 8, area (1/4)π(8^2) = 16π; three such faces give 48π.

Total surface area of one piece = 32π + 48π = 80π cm^2.

Answer: 80π cm^2.