Saved Bookmarks
| 1. |
the radii and volumes of a solid circular cone and solid sphere are equal. Let us determine the ratio of the sphere and height of the cone |
|
Answer» Step-by-step explanation: Let R be a radius of a sphere, h and r are HEIGHT and radius of cone respectively. Given: DIAMETER of base of cone= Diameter of sphere d=D⇒ r=R Now volumes are EQUAL, ∴ 3 1
πr 2 h= 3 4
πR 3
CANCELLING 3,π,r&R ∴h=4R ⇒h=4 2 D
⇒h=2D ⇒ D h
=2 Thus, h:D=2:1 |
|