Which geometric shape has the minimum surface area for a given volume?

Cylinder

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Sphere

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Cube

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Cone

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Solution

The correct option is B
Sphere

Rain drops or bubbles of any kind which form are always of a spherical shape. This is because the liquid tries to minimize the surface area as the molecules on the surface have higher potential energy. The shape which most efficiently manages to do this is a sphere.

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A sphere is inscribed in a cube that has a surface area of 24 m $^{2}$ . A second cube is then inscribed within the sphere. What is the surface area in square metres of the inner cube?

Q. A sphere is inscribed in a cube that has a surface area of 24 m². A second cube is then inscribed within the sphere. What is the surface area in square metres of the inner cube?

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Q. If a sphere has the same surface area as the total surface area of a circular cone of height 40 cm and radius 30 cm, find the radius of the sphere.

Q. Write (T) for true and (F) for false:

(i) A cylinder has no vertex.
(ii) A cube has 6 faces, 12 edges and 8 vertics.
(iii) A cone has one vertex.
(iv) A sphere has one edge.
(v) A sphere has a curved surface.

Q. If a sphere has the same curved surface area as total surface area of cone of vertical height

40 c m

and radius

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then the radius of the sphere is:

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Which geometric shape has the minimum surface area for a given volume?

The correct option is B Sphere Rain drops or bubbles of any kind which form are always of a spherical shape. This is because the liquid tries to minimize the surface area as the molecules on the surface have higher potential energy. The shape which most efficiently manages to do this is a sphere.

The correct option is B
Sphere

Rain drops or bubbles of any kind which form are always of a spherical shape. This is because the liquid tries to minimize the surface area as the molecules on the surface have higher potential energy. The shape which most efficiently manages to do this is a sphere.