2. 3.9 Related Rates Piston compression A piston is seated at the top of a cylindrical chamber with radius 5 cm when it starts moving into the chamber at a constant speed of 3 cm/s (see figure). What is the rate of change of the volume of the cylinder when the piston is 2 cm from the base of the chamber? h: height of piston from cylinder base (cm) V: volume of cylinder (cm^3) T: time (s) R: 5 cm 5 cm Piston A. What rate are you given? B. What rate are you asked for? At what specific moment? C. What is the general equation D. Implicitly differentiate, Substitute, and solve: E. What is your final answer? 2. 3.9 Related Rates Piston compression A piston is seated at the top of a cylindrical chamber with radius 5 cm when it starts moving into the chamber at a constant speed of 3 cm/s (see figure). What is the rate of change of the volume of the cylinder when the piston is 2 cm from the base of the chamber? h: height of piston from cylinder base (cm) V: volume of cylinder (cm^3) T: time (s) R: 5 cm 5 cm Piston A. What rate are you given? B. What rate are you asked for? At what specific moment? C. What is the general equation D. Implicitly differentiate, Substitute, and solve: E. What is your final