Respuesta :
The area of a 2D form is the amount of space within its perimeter. The surface area of the sponge ball is 784π units².
What is an area?
The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
Given that the surface area of a plastic ball is 196π units². Therefore, the radius of the sphere plastic ball is,
Surface area of plastic ball = 4πr² units²
196π units² = 4 × π × r² units²
196 = 4 × r² units²
196/4 = r²
49 = r²
r = 7 units
Now, as it is given that the radius of the sponge ball is twice the radius of the plastic ball. Therefore, the radius of the sponge ball is 14 units.
Further, the surface area of the sponge ball can be written as,
Surface area of the sponge ball = 4πr² unit²
Surface area of the sponge ball = 4 × π × 14² units²
= 784π units²
Hence, the surface area of the sponge ball is 784π units².
Learn more about Area here:
https://brainly.com/question/1631786
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