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
View Solution FreeMore Application of Derivative Questions
The length of perpendicular drawn from the origin to the normal at any point θ of the curve x = a cos3 θ, y = ...The pth term Tp of H.P. is q(q + p) and qth term Tq is p(p + q) when p > 1, q > 1, then -...The dimensions of the rectangle of maximum area that can be inscribed in the ellipse (x/4)2 + (y/3)2 = 1 are...The angle of intersection between the curve y2 = 16 x and 2x2 + y2 = 4 is-...At what point on the curve y = e−x , the tangent cuts intercept equal in length on coordinate axes-...