Answer:
[tex]144\pi in^2[/tex]
Step-by-step explanation:
Given
Shape: Circe
Radius = 6 inches
Required
What is the surface area of a sphere when the circle
When a circle is rotated about its diameter, the resulting sphere maintains the same radius and diameter as the circle, before rotation;
This implies that
Radius [of sphere] = 6 inches
[tex]Surfare\ Area = 4\pi r^2[/tex]
Substitute 6 for r
[tex]Surfare\ Area = 4\pi* 6^2[/tex]
[tex]Surfare\ Area = 4\pi* 6 * 6[/tex]
[tex]Surfare\ Area = 4\pi*36[/tex]
[tex]Surfare\ Area = 144\pi[/tex]
Hence, the surface area of the resulting sphere is 144 pi inches square
