1. The radius of a right circular cone is increasing at a rate of 3 inches per s

Question

1.

The radius of a right circular cone is increasing at a rate of 3 inches per second and its height is decreasing at a rate of 4 inches per second. At what rate is the volume of the cone changing when the radius is 30 inches and the height is 50 inches? cubic inches per second In a simple electric circuit, Ohm's law states that V = IR, where V is the voltage in volts, I is the current in amperes, and R is the resistance in ohms. Assume that, as the battery wears out, the voltage decreases at 0.01 volts per second and, as the resistor heats up, the resistance is increasing at 0.03 ohms per second. When the resistance is 100 ohms and the current is 0.02 amperes, at what rate is the current changing? amperes per second

Explanation / Answer

1)5654.86667 cu.inches per sec

2)-1.06 x 10^-4 amperes per sec

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