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If the radius of a sphere is 2r , them ...

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)`

Text Solution

Verified by Experts

The correct Answer is:
D
Given radius of a sphere = 2r
Volume of a sphere ` = (4)/(3) pi ("Radius")^(3)`
`= (4)/(3) pi (2r)^(3) = (4)/(3)pi.8r^(3)`
`= (32pir^(3))/(3) "cu units"" "[because "radius =2r"]`
Hence, the volume of a sphere is `(32pir^(3))/( 3)` cu units.
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Knowledge Check

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    A
    `100%`
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    D
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