The radius of a cylinder is increasing at the rate of 3 m/sec and its altitude is decreasing at the rate of 4m/sec. The rate of change of volume when radius is 4 meters and altitude is 6 meters is [Kerala (Engg.) 2005]

The radius of a cylinder is increasing at the rate of 3 m/sec and its

1.	The radius of a cylinder is increasing at the rate of 3 m/sec and its altitude is decreasing at the rate of 4m/sec. The rate of change of volume when radius is 4 meters and altitude is 6 meters is [Kerala (Engg.) 2005]
A.	\[80\pi \,\]cu. m/sec
B.	\[144\,\pi \,\]cu. m/sec
C.	\[80\,\] cu. m/sec
D.	\[64\,\] cu. m/sec
E.	\[-80\,\pi \] cu. m/sec
Answer» B. \[144\,\pi \,\]cu. m/sec

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The radius of a cylinder is increasing at the rate of 3 m/sec and its altitude is decreasing at the rate of 4m/sec. The rate of change of volume when radius is 4 meters and altitude is 6 meters is [Kerala (Engg.) 2005]

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