![]() If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one We can cancel, which leaves us with 36/16. ![]() This means we must find the following ratio: The problem requires us to find the ratio of the total surface area to the area of the base. To find the total surface area (TA), we must add the lateral area and the area of the base. Let's go back to the formula for the lateral surface area (LA). According to the Pythagorean Theorem, we can write the following equation: According to the Pythagorean Theorem, the sum of the squares of the legs (which are 4R and 3R in this case) is equal to the square of the hypotenuse (which is the slant height). We can use the Pythagorean Theorem to find an expression for l. The slant height will be the hypotenuse of this triangle. In order to find the slant height, we need to construct a right triangle with the legs equal to the height and the radius of the cone. What we need now is the slant height, which is the distance from the edge of the base of the cone to the tip. , where r is the radius and l is the slant height. The lateral surface area (LA) of a cone is given by the following formula: To find the total area of the cone, we need the area of the base and the lateral surface area of the cone. In the case of this cone, the radius is equal to 4R, so we must replace r with 4R. The formula for the area of a circle is given below: The area of the base of a cone is equal to the area of a circle. We need to find total surface area of the cone and the area of the base.
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