The lateral surface of a cylinder is equal to the curved surface of a cone . If the radius be the same , find the ratio of the height of the cylinder and slant height of the cone .
The lateral surface of a cylinder is equal to the curved surface of a cone . If the radius be the same , find the ratio of the height of the cylinder and slant height of the cone .
Answers (1)
Solution: Let be the radius of both the cylinder and the cone .
Let and respectively be the height and slant height of the cylinder and the cone . Then ,
Lateral surface of the cylinder = Curface surface of the cone