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Q.

If the radius of a sphere is increased from 7cm to 7.02 cm then find the approximate increase in the volume of the sphere.

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Detailed Solution

Given Δr=0.02,r=7

Volume of sphere V=43πr3ΔV=43π3r2Δr

=4π(7)2(0.02)=28×22×0.02

ΔV=12.32cm3

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If the radius of a sphere is increased from 7cm to 7.02 cm then find the approximate increase in the volume of the sphere.