The scale factor of Cylinder A to Cylinder B is 5:4. If the surface area of Cylinder A is 600 yd^2, find the surface area of Cylinder B

Respuesta :

Answer: 384

Step-by-step explanation:

To find the surface area of Cylinder B, we need to know the ratio of the surface areas between Cylinder A and Cylinder B. Since the scale factor of Cylinder A to Cylinder B is 5:4, the ratio of their surface areas will be the square of this scale factor, which is (5/4)^2.

Let's calculate it:

(5/4)^2 = (25/16)

Now, if the surface area of Cylinder A is 600 square yards, we can set up a proportion to find the surface area of Cylinder B.

Let Since the ratio of the surface areas is (25/16), we can write:

600/x = 25/16

600x16=25x

9600=25x

divide both sides by 25 9600/25 and u get 384!

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