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6. The radius of a ball is (5.2 + 0.2) cm. The percentage
error in the volume of the ball is;​

User Cardamo
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1 Answer

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Step-by-step explanation:

It is given that, the radius of a ball is
(5.2\pm 0.2)\ cm.

We need to find the percentage error in the volume of the ball. The volume of a sphere is :
V=(4)/(3)\pi r^2

The percentage error is given by :


(\Delta V)/(V)=3(\Delta r)/(r)* 100

We have,
\Delta r=0.2 and r = 5.2

So,


(\Delta V)/(V)=3* (0.2)/(5.2)* 100\\\\\%=11\%

So, the percentage error in the volume of the ball is 11%

User Gladis
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