If the surface area of a sphere is 616 sq cm, find its radius.

Question

Philoid · Accepted Answer

Given is the surface area of a sphere, that is, 616 cm².

And we know that surface area of sphere is given by

Surface area = 4 πr²

⇒ r² = Surface area/4π

⇒

⇒ r² = (616 × 7)/(4 × 22)

⇒ r² = 4312/88

⇒ r² = 49

⇒ r = √49 = 7

Thus, radius of the sphere is 7 cm.