The region bounded by the given curve is rotated about the specified axis. Find the volume V of the resulting solid by any method. x^2 + (y − 4)^2 = 16; about the y-axis
for (x-h)^2+(y-k)^2=r^2 center is (h,k) and radius is r
we have (x-0)^2+(y-4)^2=4^2
that's a circle it is centered at (0,4) radius is 4 around the y axis means we get a sphere radius is 4 V=(4/3)pir^3 V=(4/3)pi4^3 V=(4/3)pi64 V=(256/3)pi units³ or aprox 268.08257 units³ see attachment
