Application of DerivativeHard
Question
A balloon which always remains spherical, is being inflated by pumping in 900 cubic centimetres of gas per second. The rate at which the radius of the balloon is increasing when the radius is 15 cm is-
Options
A.1/π cm/sec
B.2/π cm/sec
C.π cm/sec
D.π/2 cm/sec
Solution
V = 
πr3
⇒
= 4 . π r2 
⇒ 900 = 4 . π. 225 .
[∵ r = 15,
= 900 cm2/sec]
⇒
cm/sec
πr3⇒
= 4 . π r2 ⇒ 900 = 4 . π. 225 .
[∵ r = 15,
= 900 cm2/sec]⇒
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