Finding height of cone

**A Beautiful Mind** · September 8th 2009, 11:20 AM

The radius of a traffic cone is 14 centimeters and the lateral surface of the cone is 1617 square centimeters. Find the height of the cone.

Don't know where to go from this.

**masters** · September 8th 2009, 11:52 AM

Originally Posted by A Beautiful Mind

The radius of a traffic cone is 14 centimeters and the lateral surface of the cone is 1617 square centimeters. Find the height of the cone.

Don't know where to go from this.

Hi A Beautiful Mind,

The L.A. of a cone is given by $\pi r l$ , where r = radius and l = slant height.

Therefore, $1617=\pi (14)l$

$l=\frac{1617}{14 \pi}$

Use the Pythagorean Theorem to find the height of the cone.

$\left(\frac{1617}{14 \pi}\right)^2=h^2+14^2$

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