Question

Radius of a sphere is 7.0cm calculate its (a) surface area and (b) volume with error of limit?​

Answer 1

Explanation:

Solution



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Let r be the radius of the sphere and Δr be the error in measuring the radius.

We have given,  r=7 m and Δr=0.02 m  

Now, the volume V of the sphere is given by, 

V=34πr2

⇒drdV=4πr2

∴ΔV≈dV=(drdV)Δr

=(4πr2)Δr

=4π(7)2(0.02)m3=3.92π m3

Which is approximate error in measuring volume