The ratio of the surface area of a cylinder to the surface area of a sphere is , that is mentioned in option E.
Step-by-step explanation:
The given is,
Cylinder and sphere has same area.
Step: 1
Formula for surface area of cylinder,
.............................(1)
Where, r - Radius of cylinder
h - Height of cylinder
Step:2
Formula for surface area of sphere,
.......................................(2)
Where, r - Radius of sphere
Step:3
Ratio of the surface area of a cylinder to the surface area of a sphere,
Ratio of the surface area of a cylinder to the surface area of a sphere .
Result:
The ratio of the surface area of a cylinder to the surface area of a sphere is , that is mentioned in option E.