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A cone radius 10 cm and height 18cm fits exactly over a cylinder so that the cylinder is just touching hte inside surface of the cone. The radius of the cylinder is 4cm,

A cone radius 10 cm and height 18cm fits exactly over a cylinder so that the cylinder is just touching hte inside surface of the

Answer :

Just figure this, times 10 cm by 18cm then divide

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Rewritten by : Barada

Final answer:

To find the volume of the cylindrical part of the cone, subtract the volume of the cone's tip from the volume of the cone.

Explanation:

To find the volume of the cylindrical part of the cone, we need to subtract the volume of the cone's tip from the volume of the cone. The volume of the cone is given by V = 1/3 * π * r^2 * h, where r is the radius and h is the height. The volume of the cone's tip can be found using a similar formula. Subtracting the volume of the cone's tip from the volume of the cone, we can find the volume of the cylindrical part.

The volume of the cylinder is given by V = π * r^2 * h, where r is the radius of the cylinder and h is the height. In this case, the radius of the cylinder is 4 cm and the height is the same as the height of the cone, which is 18 cm.

Substitute the values into the formula to find the volume of the cylindrical part of the cone:

V = π * (4 cm)^2 * 18 cm = 288π cm^2 ≈ 904 cm^2

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