Question

A largest possible cylinder is inscribed within a cube. What portion of the cube would be occupied by the cylinder​

Answer 1

Answer:

Cube has 6 faces.

If area is 600 m², area of each face would be 600/6 = 100m²

=> Each edge of cube = √100 = 10m.

Maximum diameter & maximum height of required cylinder cannot exceed the length of edge of the cube.

=> Radius of cylinder = 10/2 = 5m & height = 10m.

Volume of cylinder = πr²h

= 22/7 x 5 x 5 x 10 = 785.71 m²

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Explanation:

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Answer 2

The Volume of a Cube= side cube

27in³=s³

∛27 =s

s=3 inches

So, the height of the cylinder inscribed in a cube is 3inches and the radius will be 1.5inches.

Volume of Cylinder=πr²h

=π(1.5in)²(3in)

=6.75π cubic inches or 21.21 cubic inches.

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