Question

Find the volume of common area given in following graph which is bounded by the cylinders x2 + y2 = aand x2 + z2 = a? = Z zeyn z 2 + y = a Х​

Answer 1

Step-by-step explanation:

x2 + z2 = a = Z zeyn z 2 + y = a Х

hope it helps

Answer 2

The solid lies above the region D in the xy-plane bounded by the circle x2+y2=r2, so the volume is given by the integral

∫∫Df(x,y) dA=∫−rr∫−r2−y2√r2−y2√f(x,y) dxdy

Therefore the required volume of the solid is:

∫−rr∫−r2−y2√r2−y2√2r2−y2−−−−−−√ dxdy=163r3