I am having trouble understanding how and why that formula was used. the rest is ok
where I wrote with the pencil.
981 14.2 Double Integrals and Volume EXAMPLE 5 Find the volume of the solid region boanded above by the paraboloid and below by the plane Volume of a Region Bounded by Two Surfaces Mane as shown in Figure 14.20. Paraboloida 0, Figure 14.20 Solution Equating z-values, you can determine that the intersection of the two surfaces occurs on the right circular cylinder given by So, the region R in the xy-plane is a cirele, as shown in Figure 14.21. Because the volume of the solid region is the difference between the volume under the paraboloid and the volume under the plane, you have Volume (volume under paraboloid)- (volume under plane) (1 - y) d dy dy ä¸0Sysl dy figaure 14.21 // -GAS), [1.. (2y-1)ãª1/2dy de " (I)鬧 Wallis's Formala 32
