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प्रश्न
If the surface area of a sphere is 616 cm2, its diameter (in cm) is ______. (Taking π = `22/7`)
विकल्प
7
14
28
56
उत्तर
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
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