Question

A right circular cone is inscribed in a hemisphere so that the base of the cone coincides with the base of the hemisphere. What is the ratio of the height of the cone to the radius of the hemisphere?(A)
`√(3)` : 1

(B) 1 : 1
(C)
`(1)/(2)` : 1
(D)
`√(2)` : 1
(E) 2 : 1

Answer 1

Answer:B

Explanation:

Given

Right circular cone is inscribed in a hemisphere so that the base of the cone coincides with base of hemisphere

Height of cone is equal to radius of hemisphere

so ratio of the height of cone to the radius of the hemisphere is 1:1