The surface area of one piece of the sphere will be equal to 80π cm².
What is surface area?
The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
Given that:-
- A sphere is cut into 8 congruent pieces. The radius of the sphere is 8cm.
The surface area of the one-piece will be calculated as:-
The surface area of the one-fourth circular portion will be
SA1 = ( 1 / 4 ) π r² + ( 1 / 4 ) π r² + ( 1 / 4 ) π r²
SA1 = ( 3 / 4 ) π r²
The surafce area of the 1 / 8 th spherical face will be:-
SA2 = ( 1 / 8 ) 4 π r²
SA2 = ( 1 / 2 ) π r²
Now the total surface area will be:-
SA = SA1 + SA2
SA = ( 3 / 4 ) π r² + ( 1 / 2 ) π r²
SA = ( 5 / 4 ) π r²
SA = ( 5 / 4 ) x π x ( 8 ) ²
SA = 80π cm ²
Therefore the surface area of one piece of the sphere will be equal to 80π cm².
To know more about a surface area follow
https://brainly.com/question/25292087
#SPJ2
