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' =
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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.....
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