Question

A traffic cone with a height of 20 in. is ideal for traffic control. Find the lateral area of a cone with a height of 20 in. and a diameter of 12 in. Round the answer to the nearest whole number.​ (Hint: The height given is not the slant​ height.)

Answer 1

The lateral area of the cone is 394 square inches

How to determine the value

The formula for lateral area of a cone is expressed as;

Lateral area = πr √h² + r²

Given that;

• height = 20 in
• Diameter = 12 in, radius = 12/ 2 = 6 in

Substitute the values into the formula

Lateral area = 3. 142(6) √20² + 6²

Lateral area = 18. 85 √436

Lateral area = 18. 85 × 20. 8

Lateral area = 394 square inches

Thus, the lateral area of the cone is 394 square inches

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