Answer:To find the lateral area and surface area of a cone with a diameter of 3.4 centimeters and a slant height of 6.5 centimeters, we first need to find the radius of the cone. The radius is half of the diameter, so it is 1.7 centimeters.
The lateral area of a cone is given by the formula LA = πrs, where r is the radius and s is the slant height. Plugging in the values we have, we get LA = π(1.7)(6.5) = 35.042 square centimeters.
The surface area of a cone is given by the formula SA = πr^2 + πrs, where r is the radius and s is the slant height. Plugging in the values we have, we get SA = π(1.7)^2 + π(1.7)(6.5) = 47.097 square centimeters.
Therefore, the lateral area of the cone is approximately 35.042 square centimeters and the surface area of the cone is approximately 47.097 square centimeters.
I hope this helps!
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