so i have one problem and i just need to know if my integral is right. any help would be greatly appreciated 1. a ball of radius 10 has a round hole of radius 5 drilled through its center. find the volume of the resulting solid. i know volume of cylinder removed is pi*5^2*10*sqrt(3) because h^2/4 + 5^2=10^2 so h = sqrt(300)= 10*sqrt(3) and i know the volume of original sphere is 4/3*pi*10^3 and now what? i think i need to do integral of pi*(100-y^2) dy from 10 to 10*sqrt(3) and multiply this whole answer by 2 is that right? if so what do i do with these three pieces of information? thank you!!!