Question

surface area of cones practice
complete this assessment to review what youve learned. it will not count toward your grade.
what is the surface area, in square centimeters, of a cone with a diameter of 12 feet and a slant
height of 14 feet? use 3.14 for pi and round to the nearest tenth, if necessary. (1 point)

square centimeters

check answer remaining attempts : 3

Explanation:

Step1: Find the radius

The radius \(r\) is half of the diameter. Given diameter \(d = 12\) feet, so \(r=\frac{d}{2}=\frac{12}{2}=6\) feet.

Step2: Use the surface - area formula for a cone

The surface - area formula of a cone is \(A=\pi r(r + l)\), where \(l\) is the slant height. Here, \(\pi = 3.14\), \(r = 6\) feet, and \(l=14\) feet.
Substitute the values into the formula:

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Answer:

\(376.8\) square feet. (Note: If you want to convert feet to centimeters, \(1\) foot \( = 30.48\) centimeters. But the problem seems to have a unit - mix error. If we assume it's a typo and should be square feet, the answer is \(376.8\). If we convert: \(1\) square foot \(=(30.48)^2\) square centimeters. \(A = 376.8\times(30.48)^2=376.8\times929.0304\approx3.5\times10^{5}\) square centimeters)