Application of DerivativeHard
Question
The surface area of a spherical bubble is increasing at the rate of 2 cm2/s. When the radius of the bubble is 6 cm, then the rate by which the volume of the bubble increasing is-
Options
A.6 cm3/sec
B.9 cm3/sec
C.3 cm3/sec
D.12 cm3/sec
Solution
A = 4πr2
⇒
= 8 π r 
⇒ 2 = 8 . π . 6 .
[∵
= 2cm2/sec & r = 6 cm]
⇒
cm/sec
Now V =
π r3
⇒
⇒ 4 . π r2 
⇒
⇒
= 6 cm3/sec.
⇒
= 8 π r ⇒ 2 = 8 . π . 6 .
[∵
= 2cm2/sec & r = 6 cm]⇒
cm/secNow V =
π r3⇒
⇒ 4 . π r2 ⇒
⇒
= 6 cm3/sec.Create a free account to view solution
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