Activity A (continued from previous page) 4. Observe: Click Reset. Select Lights on and tum off Show rulers. Select Longitudinal
waves. Check that the Amplitude is 10.0 cm, the Frequency is 1.00 Hz, and the Tension is
2.0 N. Set the Density to 1.0 kg/m, and click Play.
A. What is the motion of the hand?

the rate of change of the volume of the cylinder at that instant is -2400π km³/s

Explanation:

Given that;

Height of cylinder h = 2.5 km

Radis r = 40 km

radius of the base of a cylinder is decreasing at a rate of 12 kilometers per second

that is; dr/dt = (-12) km/s

we know that; volume of a cylinder V = πr²h

now, we differentiate

dv/dt = π2r×dr/dt×h

so we substitute

dv/dt = 2π × 40 × (-12) × 2.5

dv/dt = -2400π km³/s

Therefore, the rate of change of the volume of the cylinder at that instant is -2400π km³/s