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A right circular cylinder has radius 7 cm and height 10 cm. Another cylinder has twice the height and half the radius. The ratio of their volumes (first : second) is:

Solution

✅ Correct Option: 3

Volume =πr2h= \pi r^2 h.

First: π(7)2(10)=490π\pi (7)^2 (10) = 490\pi.

Second: π(3.5)2(20)=245π\pi (3.5)^2 (20) = 245\pi.

Ratio =490:245=2:1= 490 : 245 = 2 : 1. Halving the radius divides volume by 4 while doubling the height only doubles it.

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