basin has a form of cylinder with height of 0,5 meters and background radius of 0,3 meters. calculate a work that is needed to evacuate the water from the basin.

my solution: area of background =

as water has density of 1000 and then

and integrating the last expression from 0 to 0,5 i get 346,36 but an answer given for this problem is 346,54.

basin has a form of half of a sphere with radius 0,1 meters. calculate a work needed to evacuate water from it.

my solution: are of circle that is x meters under the center is

and as i integrate it from 0 to 0,1 i get 0,79, but the answer given is 1,54.

please help me find my mistakes