Question

What is the radius of a sphere with a surface area of 100πcm2?

Answer 1

Answer:

5 cm    

Step-by-step explanation:

The surface area of a sphere is given by:

$s = 4\pi r^2$

where, r is the radius of the sphere.

It is given that the surface area of a sphere is 100π cm²

⇒ 4πr² = 100π cm²

⇒ $r^2 = \frac{100}{4} = 25 \\ \Rightarrow r = \sqrt{25}=5 cm$

Thus, the radius of a sphere having surface area 100π cm² is 5 cm.

Answer 2

Sa=4pir^2

100pi=4pir^2
divide both sides by 4pi
25=r^2
sqrt both sides
5=r
radius=5cm