the radius of two cylinder are in the ratio 3:4 and their height are in the ratio 5:4 find the ratio of and circumference
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Answer:
Step-by-step explanation:
Let radii of the cylinders be 3r and 4r respectively, and let the heights of the cylinders be 5h and 4h repectively.
To find : Ratio of their volumes(is what I'm assuming) and ratio or the circumference
Proof:
1)VOLUMES
Ratio of their volumes will be:
pi*3r*3r*5h : pi*4r*4r*4h (Let pi, r and h get cancelled.)
9*5 : 16*4
= 45:64
Therefore, ratio of their volumes is 45 : 64
2)CIRCUMFERENCE
Ratio of their circumferences(Curved Surface Areas) will be:
2*pi*3r*5h : 2*pi*4r*4h (Let 2, pi, r and h get cancelled)
3*5 : 4*4
= 15 : 16
Therefore, ratio of their volumes is 15 : 16
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