![]() 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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