The value of the surface area (in square centimeters) of the cone is equal to the value of the volume (in cubic centimeters) of the cone. The formula for the surface area S of a right cone is S=πr2+πrl, where r is the radius of the base and l is the slant height. Find the height of the cone.

2√14

Step-by-step explanation:

According to the illustration of a right cone, the height or altitude of a right cone is equal to the square root of both the slant height sqared minus the radius squared. h = √(l^2-r^2). h = 81-25 = √56 = 2√14

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