Estimate the total mass of water (in kg) in a model hurricane using the following assumptions, being mindful of units. (a) the mass density of water ( g / m 3 ) is modeled as δ (r, θ, z) = 50r e −z/ 4 . z and r are measured in km. (b) the hurricane occupies a cylindrical annulus that is 9 km deep. the eye of the hurricane (where there is no water) has a radius of 50 km and the hurricane’s outer diameter is 1000 km