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A cone has a circular base with a diameter of 18 inches. the height of the cone is 40 inches. what is the approximate lateral area of the cone? use 3.14 for π and round to the nearest whole number. 565 square inches 580 square inches 1,131 square inches 1,159 square inches

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MissPhiladelphia
The lateral area of a cone is expressed as:

Lateral surface area of a cone: L = πrs = πr√(r^2 + h^2)
                                                        L = π(9)√(9^2 + 40^2)
                                                        L = 1159.248 

Therefore, the correct answer is the last option. Hope this answers the question. Have a nice day.

To solve this problem, we have to use the formula of lateral surface area of a cone and substituting the values into the formula and then solve.

The lateral surface area of this cone is 2260.8in^2

Lateral Surface Area of a Cone

The lateral surface area of a cone is calculated using

[tex]L_a = 2\pi rh[/tex]

The data in the question are

  • diameter = 18in
  • radius = 9in
  • height = 40
  • π = 3.14

Let's substitute the values into the equation and solve

[tex]L_a = 2\pi r h\\L_a = 2 * 3.14 * 9 * 40 \\L_a = 2260.8in^2[/tex]

The lateral surface area of this cone is 2260.8in^2

Learn more on lateral surface area of a cone here;

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