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

Question

Dayami Bishop

Mathematics

29 June, 01:19

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

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Alvaro Santiago · Answer 1

Given that a sphere with radius 8 cm is cut into 8 pieces, the surface of one piece will be as follows;

SA=1/8[surface are of sphere]

surface are of the sphere will be:

Area=4πr^2

=4*π*8^2

=256π

S. A of the piece will be:

1/8*256π

=64π cm^2