Answer:
r = 1.8 cm
d = 3.6 cm
C = 11.3 cm (nearest tenth)
Step-by-step explanation:
The figure shown is a sphere.
The radius (r) of a sphere is the distance from its center to any point on its surface, and it is constant for all points on the sphere.
From observation of the diagram, the radius of the given sphere is:
[tex]\Large\boxed{\boxed{r = 1.8 \;\sf cm}}[/tex]
The diameter (d) of a sphere is twice its radius:
[tex]d = 2r\\\\d=2 \cdot 1.8\\\\d=3.6\; \sf cm[/tex]
Therefore, the diameter of the given sphere is:
[tex]\Large\boxed{\boxed{d=3.6 \;\sf cm}}[/tex]
The circumference of a sphere is the circumference of the circle formed by the intersection of the sphere and a plane passing through its center. In other words, it is the circumference of the greatest cross-section of a circle that can be cut from a sphere.
The formula for the circumference is C = 2πr, where r is the radius of the sphere. Therefore:
[tex]C=2\pi \cdot 1.8\\\\C=3.6\pi \\\\C=11.3097335529...\\\\C=11.3\; \sf cm\;(nearest\;tenth)[/tex]
So, the circumference of the given sphere is:
[tex]\Large\boxed{\boxed{C=11.3 \;\sf cm}}[/tex]
