Cylinder A has radius r and height h as shown in the diagram. Cylinder B has radius 4r and height 4h. How many times greater is the surface area of Cylinder B than the surface area of Cylinder A?

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Respuesta :

Answer:

16 times

Step-by-step explanation:

Since the sides are in the same ratio, i.e

1 : 4

The cylinders are similar

(Ratio of sides)² = Ratio of areas

4² = 16

Step-by-step explanation:

Step 1:  Make a ratio of the sides

Side of Cylinder A : Side of Cylinder B

            1                  :                4

Step 2:  Find the ratio of the area

[tex]1 : 4[/tex] ← Ratio of Side

[tex](1)^2 : (4)^2[/tex] ← Ratio of Area

[tex]1 : 16[/tex] ← Ratio of Area

Answer:  The area of Cylinder B is 16 times greater than Cylinder A

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