Question

2. The diameter of a sphere is equal to the height of the cone of equal volume
are the radii of cone and sphere respectively, then r' =​

Answer 1

Answer:

H:D=2:1..... HOPE THIS WILL HELP YOU

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.....