Write the intercept cut off by the plane 2x + y – z = 5 on x-axis.
2 x + y - z = 5
Dividing both sides by 5,
Thus, the intercept cut off by the given plane on the x-axis is .
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?