Asphere of radius 3 inches is sliced with two parallel planes: one passes through the equator and the other is h inches above the first plane. the resulting portion of the sphere between the two planes is called a spherical segment; see the picture: in math 125, you will show that the volume v of the spherical segment is given by this formula (which we will assume): v = (π/3)h(27 – h2). give exact answers to the questions below. (a) find the volume of the spherical segment if h=1: (b) find the rate of change of the volume with respect to h of the spherical segment at h=1: (c) use the tangent line approximation at h=1 to estimate the value of h that will yield a spherical segment having volume 25 cubic inches: