Question

‼️PLEASE HELP SO CONFUSED‼️

Answer 1

9
`\pi`

Explanation:

To find the scale factor, we can use the information given to us on the diagram. In this case, it is surface area.

Surface area scales proportionally with the scale factor meaning if one shape has a surface area of 2 and is scaled up 3 times, it would simply be 2*3 so the final shape will have a surface area of 6.

The starting shape(left) has a surface area of 56
`\pi` and the resulting shape(right) has a surface area of 504
`\pi`.

What we have to solve is 56
`\pi` times what scale factor is equal to 504
`\pi`. or 56
`\pi`x=504
`\pi` where x is the scale factor

To solve this equation we divide 56
`\pi` on both sides to get x = 504
`\pi`/56
`\pi` or simplified, 9
`\pi`.

So the scale factor is 9
`\pi` because 56
`\pi` times 9
`\pi` is 504
`\pi`