Investigators are exploring ways to treat milk for longer shelf life by using pulsed electric fields to destroy bacterial contamination. one system uses 8.0cm diameter circular plates separated by 0.95cm. the space between the plates is filled with milk, which has the same dielectric constant as that of water. the plates are briefly charged to 30,000v. what is the capacitance of the system? how much charge is on each plate when they are fully charged?

The temperature in gavin's oven is a sinusoidal function of time. gavin sets his oven so that it has a maximum temperature of 280°f and a minimum temperature of 240°. once the temperature hits 280°, it takes 20 minutes before it is 280° again. gavin's cake needs to be in the oven for 30 minutes at temperatures at or above 270°. he puts the cake into the oven when it is at 260° and rising. how long will gavin need to leave the cake in the oven? (round your answer to the nearest minute.)