00:01
Hello, we have a given information is y equal to 9 minus x, x is equal to zero, and y is equal to zero about y axis.
00:15
Now about about y axis y should be equal to zero.
00:19
So we get here nine minus x is equal to zero.
00:22
So we get x equal to nine.
00:24
Now, the volume is equal to two pi integration from zero to nine x multiplied by nine minus x dx.
00:44
So this is equal to two pi.
00:48
Now using the integration formula, so we have here that is minus x cube divided by three and plus of nine x square divided by two and limit from nine to zero.
01:05
Now putting the upper limit nine and lower limit zero, we get here that is two pi and upper limit that is nine cube minus of nine cube divided by three plus nine multiplied by nine square divided by two and we have a lower limit that is minus of zero, we put a zero we got here zero.
01:34
Now solving further we have that is two pi multiplied by 729 and in the bracket we have minus of one by three and plus one by two taking nine to common now solving further we get here that is two pi into 729 this is equal to that is and multiplying both sides we have two pi multiplied by 729 multiplied by one by six.
02:09
So this term will be cancelled out by three times.
02:12
So finally we get here that is 243 pi cube unit we got the volume.
02:20
Now mx2 we have mx2 is equal to pi integration from zero to nine, nine minus x whole square multiplied by x dx...