a.) A kiddie pool has a surface area of 5 m 2 . A brief, intense rainstorm dumps 10 cm (0.1 m) of rain in the water directly into the pool. How much does the volume of the pool increase? Show your...

a.) A kiddie pool has a surface area of 5 m². A brief, intense rainstorm dumps 10 cm (0.1 m) of rain in the water directly into the pool. How much does the volume of the pool increase? Show your work. (2 points)

b.) The kiddie pool is 30 cm deep. What is the volume of the pool?(1 point)

c.) Now, assume that evaporation from the pool is about 2 cm per day and that you fill it with a slowly dripping faucet to maintain the same water level (e.g. the water level is at steady state). What is the residence time of water in the kiddie pool with respect to evaporation? (2 points)

d.)Annual rainfall in New England including the Parker River Watershed is 130 cm/yr. The Parker River Watershed is 200 km²in area. How much water due to rain (which drains the entire watershed) flows down the Parker River each year? Please assume all the rainwater ends up in the Parker River. Show your work. Hint: It might help to draw a picture of this annual rain on the land.Hint 2: Make sure your units are converted to be consistent.(3 points)

e.) If climate change increases annual precipitation rates across New England, how will this change the residence time of water in the Parker River Watershed? Increase, decrease, or stay the same. Please explain your answer. (2 points)