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Question
The volume of a cylinder becomes ______ the original volume if its radius becomes half of the original radius.
Solution
The volume of a cylinder becomes `underlinebb(1/4)` the original volume if its radius becomes half of the original radius.
Explanation:
The volume of a cylinder with radius r and height h = `pir^2h`
If radius is halved, then new volume = `pi(r/2)^2h = 1/4 pir^2h`
Hence, the new volume is `1/4`th of the original volume.
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