Question

A cone-shaped hole is drilled into a solid cube of metal as shown. If the cube has sides of length 9 cm, what is the volume of the metal after the hole is drilled? Let π ≈ 3.14 and round your answer to the nearest tenth.

Answer 1

The answer is D good luck hopes it works

Answer 2

The volume of the cube after drilling hole is 538.24 cu.m, the correct option is D.

What is a Cube?

A three dimensional figure that has all faces of a square, it has total 6 faces of equal length, height and width.

The Side of the cube is 9 cm.

The volume of the metal = Volume of the cube -  Volume of cone

Volume of the cube = a³

Volume of cone = πr²h/3

Volume of metal = (9)³ - πr²h/3

The radius of the cone is half of the side length = 9/2 =4.5 cm

The height of the cone is 9 cm

Volume of metal = (9)³ - 3.14 * 4.5 ² * 9 /3

Volume of metal = 538.24 cu. cm

To know more about Cube

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