Question

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 1

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