Respuesta :
sa=4pir^2
100pi=4pir^2
divide both sides by 4pi
25=r^2
sqrt both sides
5=r
radius=5cm
100pi=4pir^2
divide both sides by 4pi
25=r^2
sqrt both sides
5=r
radius=5cm
Answer:
5 cm
Step-by-step explanation:
The surface area of a sphere is given by:
[tex] s = 4\pi r^2[/tex]
where, r is the radius of the sphere.
It is given that the surface area of a sphere is 100π cm²
⇒ 4πr² = 100π cm²
⇒ [tex] r^2 = \frac{100}{4} = 25 \\ \Rightarrow r = \sqrt{25}=5 cm[/tex]
Thus, the radius of a sphere having surface area 100π cm² is 5 cm.