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Two similar cylinders have surface areas of 24 cm2 and 54 cm2. The volume of the smaller cylinder is 16 cm2.

What is the volume of the larger cylinder?

36 cm2
46 cm2
48 cm2
54 cm2

Respuesta :

mfaith2709

Answer:

54pie cm2 is the correct answer                                              

adioabiola

The volume of the larger cylinder given the surface area and volume of the smaller cylinder is 36cm³

How to solve the volume of the larger cylinder?

  • Surface area of smaller cylinder = 24 cm²
  • Surface area of larger cylinder = 54 cm²
  • Volume of smaller cylinder = 16 cm³
  • Volume of larger cylinder = x

Ratio of Surface area to volume of both cylinders

  • 24 cm² : 16 cm³ = smaller
  • 54 cm² : x = larger

Equate both

24 cm² : 16 cm³ = 54 cm² : x

24/16 = 54/x

24 × x = 16 × 54

24x = 864

x = 864 / 24

  • divide both sides by 24

x = 36 cm³

Learn more about ratio:

https://brainly.com/question/1781657

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