Your gecko can drink a full dispenser of water in 8 hours. You gave it a full container of water a exactly 8:00 am. When you returned from school the same day your gecko was gone. Upon close inspection, you noticed that the water level in his container was 0.02 m down.
a) Determine the volume of water your container can hold when it is full (in \( \mathrm{cm}^{3} \) ).
b) Determine the rate ( \( \mathrm{mL} / \) hour) at which your gecko drinks (hint \( 1 \mathrm{~cm}^{3}=1 \mathrm{~mL} \) ).
c) Determine the volume of water that the gecko has drank (in \( \mathrm{cm}^{3} \) ).
d) Determine the approximate time at which your gecko went missing.
Several weeks later, you sadly return to the pet store where you purchased your first gecko. The pet store owner feels awful about the disappearance of your gecko. As a result, she is replacing it, free of charge, with a new one. Your gecko is slightly larger so it will need a larger water container. The pet store owner suggests that you make a new water container with double the diameter. She thinks that this change will double the amount of water that the container will hold. However, her claim is incorrect. Explain her error, using mathematical reasoning.