Using properties of determinants, prove that
[ Taking out a, b, and c common from R1, R2, and R3 respectively]
[ Taking out a, b, and c common from C1, C2, and C3 respectively]
Hence proved.
Sand is pouring from a pipe at the rate of 12 cm3/s. The falling sand forms a cone on the ground in such a way that the height of the cone is always one-sixth of t heradius of the base. How fast is the sand cone increasing when the height is 4 cm?