Application of DerivativeHard
Question
If V = 
πr3, at what rate in cubic units is V increasing when r = 10 and 
= 0. 01 ?
πr3, at what rate in cubic units is V increasing when r = 10 and = 0. 01 ?Options
A.π
B.4π
C.40π
D.4π/3
Solution
V = 
πr3
⇒
=4π2 
⇒
=4π × 100 × 0. 01
[∵ r = 10 and
= 0. 01]
⇒
= 4π
πr3⇒
=4π2 ⇒
=4π × 100 × 0. 01[∵ r = 10 and
= 0. 01]⇒
= 4πCreate a free account to view solution
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