PLEASE SHOW WORK Sand leaks at 36 cubic meters/sec into a cone shaped pile that had a radius always equal to the height. When the radius is 3 meters, at what rate (in m/sec) is the height changing?

A. 3/pi
B. 2/pi
C. 4/pi
D. 1/pi
E. 8/pi

(C)

Step-by-step explanation:

The volume of the conical pile is given by

Taking the derivative of V with respect to time, we get

Since r is always equal to h, we can set

so that our expression for dV/dt becomes

Solving for dh/dt, we get

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .

i believe the answer is the polygon, heptagon.