A hemispherical tank with a radius of 1.42 m is filled with water to a depth of 1 04 m. Water is released from the tank, and the water level drops by 0.05 m (from 1 04 m to 0.99 m). 1.42 m a. Approximate the change in the volume of water in the tank. The volume of a spherical cap is V=with" (3r- h), where r is the radius of the 1.04 m sphere and h is the thickness of the cap (in this case, the depth of the water) b. Approximate the change in the area of the exposed surface of the water in the tank. Vn (Type an exact answers in terms of It.) The change in the volume of water in the tank is approximately Type an integer or decimal rounded to three decimal places as needed.) b. Express the area of the water's exposed surface as a function of the radius of the sphere and the height of water. A(r,h) = The change in the area of the exposed surface of the water is approximately nded to three decimal places as needed.)