A cylindrical electric heating element dissipates 450 W of power. The resistor is 45 cm long, and has a diameter of 2.5 cm. Assuming heat to be transferred uniformly from lateral surfaces (neglect extremities) ,determine
(a) the amount of heat this element dissipates during a 24-hour period,
(b) the heat flux, and
(c) the cost of the electricity used, if a the cost is 0.15 $/kWH.