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The radius of the base and the height of...

The radius of the base and the height of a right circular cone are doubled. The volume of the cone will be

A

पूर्व आयतन का 8 गुना

B

पूर्व आयतन का 3 गुना

C

पूर्व आयतन का `3sqrt2` गुना

D

पूर्व आयतन का 6 गुना

Text Solution

Verified by Experts

The correct Answer is:
A
प्रारंभिक शंकु का आयतन = `1/3pir^(2)h`
नये शंकु का आयतन = `1/3pi(2r)^(2)xx2h`
= `8/3pir^(2)h`
अतः नये शंकु का आयतन पुराने शंकु का 8 गुना हो जाएगा।
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