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The radius of a sphere is (5.3 +- 0.1)cm...

The radius of a sphere is `(5.3 +- 0.1)`cm` The perecentage error in its volume is

A

`(0.1)/(5.3)xx100`

B

`3xx(0.1)/(5.3) xx100`

C

`(0.1xx100)/(3.53)`

D

`3+(0.1)/(5.3)xx100`

Text Solution

Verified by Experts

The correct Answer is:
B
`:' V= (4) /(3) pi r^(3)`
`therefore % ` error in volume
`= 3xx% ` error in radius
`=(3xx0.1)/(5.3)xx100`
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