Question

If the surface area of a sphere is 616 cm², its diameter (in cm) is ______. (Taking π = `22/7`)

विकल्प

• 7

• 14

• 28

• 56

Answer 1

If the surface area of a sphere is 616 cm², its diameter (in cm) is 14.

Explanation:

Let the radius of the sphere be r.

As, Surface area of the sphere = 616 cm² 

⇒ 4πr² = 616

`=> 4xx22/7xx"r"^2 = 616`

`=> "r"^2 = (616xx7)/(4xx22)`

`=> "r"^2 = 49`

`=> r = sqrt(49)`

⇒ r = 7 cm

∴ Diameter of the sphere = 2r = 2 ×7 = 14 cm