Class 12

17. Applications of Derivatives question bank (Maths)

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Q1.

The slant height of a cone is fixed at \(7\) cm. If the rate of increase of its height is \(0.3\) cm/sec, then the rate of increase of its volume when its height is \(4\) cm is

(A)
\(\dfrac{\pi}{2}\) cc/sec
(B)
\(\pi\) cc/sec
(C)
\(\dfrac{\pi}{5}\) cc/sec
(D)
\(\dfrac{\pi}{10}\) cc/sec
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Q2.

If a circular plate is heated uniformly, its area expands \(3c\) times as fast as its radius, then the value of \(c\) when the radius is \(6\) units, is

(A)
\(4\pi\)
(B)
\(2\pi\)
(C)
\(6\pi\)
(D)
\(3\pi\)
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