Application of DerivativeHard
Question
A balloon, which always remains spherical, has a variable diametre 3/2 (2x + 3). The rate of change of volume with respect to x will be-
Options
A.
(2x - 3)2
(2x - 3)2B. (2x + 3)2
(2x + 3)2C. (3x + 2)2
(3x + 2)2D. (3x - 2)2
(3x - 2)2Solution
Given Diameter = 2r = 
(2x + 3)
r =
(2x + 3) 
v =
πr3
π × 3r2 ×
=
π × 3 × 
(2x + 3)2 × 
(2x + 3)2
(2x + 3)r =
(2x + 3) v =
πr3π × 3r2 ×=
π × 3 × (2x + 3)2 × (2x + 3)2Create a free account to view solution
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