(Solved): A cap of a sphere is generated by rotating the shaded region in about the \( y \)-axis. Determine ...

A cap of a sphere is generated by rotating the shaded region in about the \( y \)-axis. Determine the volume of this cap when the radius of the sphere is 3 inches and the height of the cap is 1 inch. 1. volume \( =\frac{8}{3} \pi \) cu. ins 2. volume \( =\frac{10}{3} \pi \mathrm{cu} \). ins 3. volume \( =3 \pi \mathrm{cu} \). ins 4. volume \( =\frac{11}{3} \pi \mathrm{cu} \). ins 5. volume \( =4 \pi \mathrm{cu} \). ins