$\"\"$

The surface area (S) of a cone formula is $\"\"$ where r is the radius of the base and h is the height of the cone.

Substitute the values of $\"\"$ in the simple interest formula.

$\"\"$

Divide each side by 15.7

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Cancel common terms.

$\"\"$ . $\"\"$

Square each side to eliminate radical.

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Subtract 25 from each side.

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Square root each side to eliminate square.

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$\"\"$ cm. $\"\"$

The height of the cone is 13 cm.