Question

It the radius of a sphere is measured as 9 m with an error of 0.03 m, then find the approximate error in calculating in surface area.​

Answer 1

Answer:

the radius of a sphere is measured as 9 m with an error of 0.03 m, then find the approximate error in calculating in surface area.

put formula 2πr(h+r)

Answer 2

Answer:

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

Then, r=9 m and Δr=0.03 m

Now, the surface area of the sphere (S) is given by,

S=4πr^2

⇒ dr/dS =8πr^2

∴dS=( dr/dS )Δr

=(8πr^2 )Δr

=8π(9)^2*(0.03) m^2

=2.16π m^2

Hence, the approximate error in calculating the surface area is 2.16π m^2

^ means power

Step-by-step explanation:

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