1. a) The diameter of a balloon, d, is decreasing at the rate of 0.3 cm/s while the height, h, is increasing at a rate of 0.15 cm/s. Find the rate at which the volume, V, is changing when d-4 cm and h=30 cm.

An inverted pyramid is being filled with water at a constant rate of 65 cubic centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 4 cm, and the height is 11 cm. Find the rate at which the water level is rising when the water level is 9 cm. 10.789 x cm/sec h b₁ b2 V

Water is being poured into an inverted cone at the rate of 4 cubic centimeters per second. The cone has a maximum radius of 6cm and a height of 30 cm. At what rate is the height increasing when the height is 3cm? 1 The volume of a cone is v 3 71 1 30

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