Equal torques are applied on a cylinder and a sphere. Both have same mass and radius rotates about its axis and sphere rotates about one of its diameter. Which will rotates acquire greater speed and why?

Explanation

`tau=I , alpha, alpha=(tau)/(I)`
`alpha` in cylinder, `alpha_(C)=(tau)/(I_(C))`
`alpha` in sphere, `alpha_(s)=(tau)/(I_(S))`
`(alpha_(C))/(alpha_(S))=(I_(S))/(I_(C))=((2)/(5)MR^(2))/(MR^(2))=(2)/(3)`