The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 100 mm? (Round your answer to two decimal places.)

A baseball diamond is a square with side 90 feet. A batter hits the ball and runs toward first base with a speed of 24 ft/s. 90 ft (a) At what rate (in ft/s) is his distance from second base decreasing when he is halfway to first base? (Round your answer to one decimal place.) -8 X ft/s (b) At what rate (in ft/s) is his distance from third base increasing at the same moment? (Round your answer to one decimal place.) 13 X ft/s

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