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If the radius of a sphere becomes 3 time...

If the radius of a sphere becomes 3 times then its volume will become

A

3 times

B

6 times

C

9 times

D

27 times

Text Solution

Verified by Experts

The correct Answer is:
D
Volume of a sphere of radius radius r,`V= 4/3 pi r^3`
Volume of a shpere of radius `3r= 4/3 pi xx (3r)^3=27 xx 4/3 pi r^3 = 27 V`
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Knowledge Check

  • If the radius of a sphere is 2r , them its volume will be

    A
    `(4)/(3)pir^(3)`
    B
    `4pir^(3)`
    C
    `(8pir^(3))/(3)`
    D
    `(32)/(3) pir^(3)`

  • If the radius of a sphere is doubled, then its volume is increased by—

    A
    `100%`
    B
    `200%`
    C
    `700%`
    D
    `800%`

  • If the radius of a sphere is doubled, its volume becomes

    A
    a.double
    B
    b. four times
    C
    c.six times
    D
    d.eight times

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