Question

Help me to solve this question plez!!

Answer 1

Let  First Sphere be the Original Sphere

its Radius be : r

We know that Surface Area of the Sphere is : 4π × (radius)²

⇒ Surface Area of the Original Sphere = 4πr²

Given : The Radius of Original Sphere is Doubled

Let the Sphere whose Radius is Doubled be New Sphere

⇒ Surface of the New Sphere = 4π × (2r)² = 4π × 4 × r²

But we know that : 4πr² is the Surface Area of Original Sphere

⇒ Surface of the New Sphere =  4 × Original Sphere

⇒ If the Radius the Sphere is Doubled, the Surface Area would be enlarged by factor : 4