A piston is seated at the top of a cylindrical chamber with radius 4 cm when it starts moving into the chamber at a constant speed of 6 cm/s (see figure). What is the rate of change of the volume of the cylinder when the piston is 19 cm from the base of the chamber? 4 cm v = xr?h (Type an exact answer, using a as needed.) Differentiate both sides of the equation with respect to t. dV dr dh +2xrh dt dt dt (Type an exact answer, using n as needed.) When the piston is 19 cm from the base of the chamber, the volume of the cylinder is changing at a rate of about (Round to the nearest hundredth as needed.)

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