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
View Solution FreeMore Application of Derivative Questions
If f(x) is differentiable in the interval [2, 5], where f(2) = and f(5) = , then there exists a number c, 2 < c < ...If length of subnormal at any point of the curve yn = an-1x is constant, then n equals-If length of subnormal at any poi...The length of a longest interval in which the function 3sin x - 4sin3 x increasing, is...Water is poured into an inverted conical vessel of which the radius of the base is 2m and height 4m, at the rate of 77 l...Sand is pouring from a pipe at the rate of 12 cm3/sec. The falling sand forms a cone on the ground in such a way that th...