The radius r of a right circular cylinder is increasing at the rate of 5 cm/min and its…
Mathematics · Class 12 · CBSE — Application Of Derivatives
The radius \(r\) of a right circular cylinder is increasing at the rate of \(5\) cm/min and its height \(h\) is decreasing at the rate of \(4\) cm/min.
Assertion (A): When \(r = 8\) cm and \(h = 6\) cm, the rate of change of volume of the cylinder is \(224\pi\) cm\(^3\)/min.
Reason (R): The volume of a cylinder is \(V = \dfrac{1}{3}\pi r^2 h\).
- Both (A) and (R) are true and (R) is the correct explanation of (A).
- Both (A) and (R) are true but (R) is not the correct explanation of (A).
- (A) is true but (R) is false.
- (A) is false but (R) is true.
Answer
(C) (A) is true but (R) is false.
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