Find vo
the radius of the circular ba
(i) r = 5 cm, h = 21 cm
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9th
Maths
Surface Areas and Volumes
Surface Area of Spheres
The volume of a cone is equ...
MATHS
The volume of a cone is equal to that of a sphere. If the diameter of the base of cone is equal to the diameter of the sphere, what is the ratio of the height of the cone to the diameter of the sphere
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ANSWER
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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