Glencoe Math: Course 3, Volume 2
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Glencoe Math: Course 3, Volume 2 View details
6. Changes in Dimensions
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Exercise 30 Page 648

The given solid is a cone with a diameter of feet and a slant height of feet. To calculate the lateral area, we must know that the lateral area of a right cone is half the product of the circumference of the base and the slant height.
In this formula, is the radius and is the slant height of the cone. We know that the diameter of the cone's base is feet. By dividing by we get the radius of the base.
We now know that the radius of the cone is and that the slant height of the cone is With this information we are able to calculate the lateral area of the cone. To do so, we will substitute and into the formula for the lateral area. Let's do it!
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The lateral area of the given cone, rounded to the nearest tenth, is