Sand is pouring from a pipe at the rate of 12 cm
3
/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 the
radius of the base. How fast is the height of the sand cone increasing when the
height is 4 cm?

Question

Sand is pouring from a pipe at the rate of 12 cm
3
/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 the
radius of the base. How fast is the height of the sand cone increasing when the
height is 4 cm?

goformit100 · Answer

@abb0t @Leaper @LilySwan @terenzreignz

abb0t · Answer

start by using the formula for volume of a cone. U can find that in ur math book. Then take the derivative, plug and chug.

goformit100 · Answer

Thankyou sir