![]() The total surface area of a cone = πrl + πr 2 = 375 inch 2 If its slant height is four times the radius, then what is the base diameter of the cone? Use π = 3. Therefore, the total surface area of the cone is 83.17cm 2Įxample 2: The total surface area of a cone is 375 square inches. To begin with we need to find slant height of the cone, which is determined by using Pythagoras, since the cross section is a right triangle.Īnd the total surface area of the cone is: (more about conic section here )Įxample 1: A cone has a radius of 3cm and height of 5cm, find total surface area of the cone. The area of the curved (lateral) surface of a cone = πrlĪ cone does not have uniform (or congruent) cross-sections. ![]() So the surface area of the cone equals the area of the circle plus the area of the cone and the final formula is given by: The formula for the area of a cone is 3.14 times the radius times the side ( πrl ). You can now use the measurement of the side to find the area of the cone. Make sure you use the same form of measurement as the radius. ![]() In order to do this, you must measure the side (slant height) of the cone. ![]() Now, you will need to find the area of the cone itself. The area of a circle is 3.14 times the radius squared ( πr 2 ). The next step is to find the area of the circle, or base. The first step in finding the surface area of a cone is to measure the radius of the circle part of the cone. ![]()
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