Use the method of cylindrical shells to find the volume v generated by rotating the region bounded by the curves about the given axis. y = cos(πx/2), y = 0, 0 ≤ x ≤ 1; about the y-axis

Can someone explain to me how to do this problem ?

Aspecimen of oil having an initial volume of 580cm^3 is subjected to a pressure increase of 4.0 mpa, and the volume is found to decrease by 0.40 cm^3. (a) what is the bulk modulus of the material? (b) what is the compressibility of the material?

Determine the maximum r-value of the polar equation r =3+3 cos 0