Question

the surface area of a sphere is 2464 centimetres square if its radius is doubled what will be surface area of sphere

Answer 1

use basic sphere property and if you want to use short method you can do. I have done that in the left side

Answer 2

Answer:

New Surface Area = 9856 centimeters square

Step-by-step explanation:

Surface Area of the sphere is given to be 2464 centimeters square'

Now, the formula for the surface area of the sphere is given by :

Surface Area = 4π × Radius²

⇒ Surface Area = 4π × r²

⇒ 2464 = 4π × r²

Now, Radius is doubled, ⇒ R = 2r

⇒ New Surface Area = 4π × R²

⇒ New Surface Area = 4π × (2r)²

                                   = 4π × 4r²

                                   = 4 × 4π × r²

                                   = 4 × 2464

                                   = 9856 centimeters square