The radii of two cylinders are in the ratio of 2 : 3 and their heights are in the ratio of 5 : 4 . The ratio (in the simplest form) of their volumes is

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asked Oct 2, 2023 155k views

2 Answers

ClearlyClueless · Answer 1 · 2023-10-03T11:49:17+0000

Explanation:

Given radii ratio is 2:3 and height ratio 5:3

Let the radius be 2x,3x and height be 5y,3y

V1= π(2x²) ×5y

V2 =π(3x)² ×3y

V1= (2×2)² ×5 *π = 20π

V2= (3×3)² ×3 *π = 27π

V1/V2 = 20π\27π

=20\27

=20:27