Need help with part c

(Old Final Exam Problem-Sp2009) cone. An hourglass is made up of two glass cones connected at their tips. Both cones have radius 1 inch and height 3 inches. When the hourglass is flipped over, sand starts falling to the lower (a) When the sand remaining in the upper cone has height y inches, its volume A in terms of y is 27 (b) When the sand in the lower cone has reached a height of h inches, its volume B in terms of h is | It - 7 (3 - h)3 (Hint: B is the volume of the bottom cone 27 minus the volume of the empty space above the sand.) (c) Assume the total volume of sand in the hourglass is 37/4 cubic inches. Also, assume the height of the sand in the upper cone is decreasing at a rate of 10/100 inches per second. At the instant when the sand in the lower cone is 1 inch high, the height of the sand in the lower cone is increasing at a rate of | 0.0043498 Inches per second. X