Emmanuel carves a cone-shaped hollow out of a solid clay cylinder. What is the approximate volume of the solid portion of the cylinder? Use 3.14 for π.

Step-by-step explanation:

Let h be the cylinders height and r the radius.

-The volume of a cylinder is calculated as:

-Since the cone is within the cylinder, it has the same radius as the cylinder.

-Let be the height of the cone.

-The area of a cone is calculated as;

The volume of the  solid section of the cylinder is calculated by subtracting the cone's volume from the cylinders:

Hence, the approximate area of the solid portion is

$12. that is my answer.

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