radius of inverted hollow cone is 8cm and height is 15cm if a sphere of largest radius put inside it then what is the ratio of cone to ratio of sphere
Answers
Answered by
5
We know that the largest radius of the sphere should be equal to the radius of cone, only then it can be fitted inside cone.
so, Radius of cone = 8 cm
Radius of sphere =. 8cm
.volume of cone = πr²h/3
3.14 x 8²x 15 / 3
= 1004.5 cm³
and volume of sphere is = 4/3 πr³
4/3 x 3.14 x 8³
= 2138 cm
so, ratio of volume of cone to sphere is , 1004:2138 or
1: 2.12.
so, Radius of cone = 8 cm
Radius of sphere =. 8cm
.volume of cone = πr²h/3
3.14 x 8²x 15 / 3
= 1004.5 cm³
and volume of sphere is = 4/3 πr³
4/3 x 3.14 x 8³
= 2138 cm
so, ratio of volume of cone to sphere is , 1004:2138 or
1: 2.12.
Similar questions