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)
2 answers:
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
2 0 1 c m ³ i s your answer
Answer:
Step-by-step explanation:
<u>Given the scale factor:</u>
Since the cylinders are similar, the other dimensions should have same scale factor of 1/3.
<u>The volumes are:</u>
<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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