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The radius of the base of a right circular cone is doubled keeping its height fixed. The volume of the cone will be :
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- three times of the previous volume
- four times of the previous volume
- √2 times of the previous volume
- double of the previous volume
- three times of the previous volume
Correct Option: B
Original volume of cone = | πr²h | |
3 |
New volume of cone = | π(2r)²h = | πr²h | ||
3 | 3 |
= 4 × | πr²h | |
3 |
i.e. Four times of the previous volume.