9. A cube and a sphere are of the
same height. The ratio of their
volume is
Answers
Answer:
if there height is same but there are also their volume ratio will be different... Sphere is round where is cube is a box
Step-by-step explanation:
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Asked on December 27, 2019 by
Vedha Rajmohan
A sphere and a cube are of the same height. The ratio of their volume is
MEDIUM
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ANSWER
The sphere will have the diameter equal to the side of the cube as they are of the same height.
If the length of the side of the cube is a, then the diameter of the sphere =a unit
∴ Radius of the sphere =
2
a
Volume of a sphere of radius 'r' =
3
4
πr
3
Hence, volume of this sphere =
3
4
×π×(
2
a
)
3
=
6
πa
3
Volume of a cube of edge a =a
3
Ratio of their volumes
=
6
πa
3
:a
3
=
6
π
:1
=
7×6
22
:1
=
7×3
11
:1
=11:21