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Q.

If there is an error 0.04 sq.cms in the surface area of a sphere then the error in its volume when the radius is 30cms is

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a

0.06.c.c

b

0.006 c.c

c

0.6 c.c

d

0.0006 c.c

answer is C.

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Detailed Solution

δS=0.04,r=30cm;S=4πr2;δS=8πrδr

δv=4πr2δrδv=0.6

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If there is an error 0.04 sq.cms in the surface area of a sphere then the error in its volume when the radius is 30cms is