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The approximate surface area of a spher...

The approximate surface area of a sphere of radius 4.01 cm is

A

`62.23 pi cm^(2)`

B

`16.62 pi cm^(2)`

C

`62.32 pi cm^(2)`

D

`64.32 pi cm^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Given `x=4.01, a=4,h=0.01`
Let `f(x)=4pix^(2)impliesf(4)=64pi`
Now `f'(x)=8piximpliesf'(4)=32pi`
`:.f(a+h)L~=64pi +(0.01)32pi=64.32pi`
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