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Aleonysh [2.5K]
3 years ago
15

The ratio of the heights of two similar cylinders is 1:3. If the volume of the smaller cylinder is 67cm^3, find the volume of th

e larger cylinder. (Create two proportions, set them equal to each other and solve for x)
Mathematics
2 answers:
NARA [144]3 years ago
8 0

Answer:

solution given:

similar cylinders ratio 1:3

let the ratio be 1x and 3x respectively:

according to the question:

x/3x=volume of (smaller cylinder/big cylinder)

Volume of big Cylinder=67cm³×3=201cm3

201cm³ is your answer

Darina [25.2K]3 years ago
7 0

Answer:

  • 1809 cm³

Step-by-step explanation:

<u>Given the scale factor:</u>

  • k = h/H = 1/3

Since the cylinders are similar, the other dimensions should have same scale factor of 1/3.

<u>The volumes are:</u>

  • v = 67 cm³
  • V = x

<u>Ratio of volumes is the cube of the scale factor, as the volume is the product of 3 dimensions:</u>

  • v/x = k³
  • 67/x = (1/3)³
  • x = 67*27
  • x = 1809 cm³

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