![]() Since the two bases of a frustum of a cone are circles, you can substitute πr 2 to the variable B resulting in a more specific equation of the volume. The volume of a frustum of a circular cone is equal to one-third of the sum of the two base areas and the square root of the two base areas, multiplied by the altitude. For the total surface area, a frustum of a right circular cone is given by the sum of the lateral surface area and area of the two bases. We can find the surface area of the cone in two ways total. ![]() The distance between the center of the base and the topmost part of the cone (of course, in the case of ice cream, this portion is at the bottom) is the height of the cone. This means the base is made up of a radius or diameter. Since C 1 = 2πr 2 and C 2 = 2πr 2, replace C by 2πr. A cone is a 3-D shape that has a circular base. The variables C 1 and C 2 are the circumferences of the bases of the frustum, and l is the slant height. ![]() It is equal to one-half of the sum of the circumferences of the bases multiplied by the slant height. The area of a conical surface of the frustum is the lateral surface area of the frustum. John Ray Cuevas Surface Area and Volume of a Frustum of a Right Circular Cone
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