Answer
$\dfrac{1000}{3}$
Work Step by Step
We have the area of a square is: $A(x)=(\ length)^2=(2x)^2=4x^2$
Now, the equation of a circle yields: $x^2+y^2=25 \implies x^2=25-y^2$
So, the area of a square becomes : $4(25-y^2)=100-4y^2$
The volume of a solid can be computed as:
$V=\int_a^b A(y) dy=\int_0^5 (100-4y^2) \ dy \\=[100 y -\dfrac{4y^3}{3}]_0^5 \\=(100)(5)-\dfrac{4(5^3)}{3}\\=\dfrac{1000}{3}$
