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 = $\displaystyle Pi \cdot R^2$

as water has density of 1000 and $\displaystyle F=m \cdot g$ then

$\displaystyle A=m \cdot g \cdot x=882 \cdot Pi \cdot x$ 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

$\displaystyle Pi \cdot r^2 = Pi(R^2 - x^2) = Pi(0,01 - x^2)$

$\displaystyle A=m \cdot g \cdot h =Pi(0,01 - x^2) \cdot 10^4 \cdot x $

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