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If the ratio of radii of the bases of two cylinders is 4 : 5 and the ratio of their heights is 5 : 2, then the ratio of their volumes is:
Question

If the ratio of radii of the bases of two cylinders is 4 : 5 and the ratio of their heights is 5 : 2, then the ratio of their volumes is:

A.

4 : 3

B.

8 : 5

C.

5 : 3

D.

6 : 5

Correct option is B

Given:
Ratio of radii = 4 : 5
Ratio of heights = 5 : 2
Formula Used:
Volume of cylinder = πr²h
Solution:
Ratio of volumes =
(4² × 5) : (5² × 2)
= (16 × 5) : (25 × 2)
= 80 : 50
= 8 : 5

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