A large dump truck will empty its full load of stone onto a small plot of land for storage. The rock forms a cone that is 9 feet tall. The truck holds 144 cubic feet of stone. What is the area of the circular base of the pile of stones?

Question

anonymous · Answer

@ganeshie8 or someone please help me with this!

anonymous · Answer

answer choices.. 48 square feet..  48/pi ... 16... or sqrt 48/pi

bibby · Answer

the full load is 144 cubic  feet
the  formula for th e volume of a cone is $\large \frac{1}{3}\pi r^2 h$

set up an equation knowing that the full load $(144ft^3)$ is equal to the volume of the cone where h=9.

then recall that the area of a circle is $\pi r^2$ |dw:1422732628395:dw|