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A cone is a three-dimensional geometric figure.

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A cone is a shape whose base is a circle and whose sides taper up to a point.

\ - See more at: http://www.uzinggo.com/observing-changes-surface-area-cones/volume-surface-area-cones-cylinders-spheres/algebra-foundations-grade-8#sthash.oGqWnp7j.dpuf

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A cone is a three-dimensional geometric figure.

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A cone is a shape whose base is a circle and whose sides taper up to a point.

\ - See more at: http://www.uzinggo.com/observing-changes-surface-area-cones/volume-surface-area-cones-cylinders-spheres/algebra-foundations-grade-8#sthash.oGqWnp7j.dpuf

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A cone is a three-dimensional geometric figure.

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Step 1:

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The right circular cone is a three dimensional geometric figure.

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A cone is a shape whose base is a circle and whose sides are taper up to a point.

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$\"\"$

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The base of a cone has radius is $\"\"$ .

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The height of the cone is $\"\"$ .

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The slant height of the cone is $\"\"$ .

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$\"\"$

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$\"\"$ .

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Step 2:

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The surface area of a cone is equal to the sum of the area of the base and the lateral area.

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The area of the base is $\"\"$ .

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The lateral area is equal to the area of the sector.

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$\"\"$

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Length of the arc is $\"\"$ .

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$\"\"$

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$\"\"$

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Area of sector ABC is $\"\"$ .

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The surface area of a cone is equal to the sum of the area of the base and the lateral area.

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$\"\"$

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$\"\"$

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Substitute $\"\"$ .

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Surface area of the right circular cone is $\"\"$ .

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Step 3:

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The volume of the cone is $\"\"$ .

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The relation between volume and surface area of a cone:

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$\"\"$

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$\"\"$

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$\"\"$ .

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Solution:

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Surface area of the right circular cone is $\"\"$ .

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$\"\"$ .