![]() ![]() Its volume (V) can be calculated by using: Consider a frustum of radii 'R' and 'r', and height 'H' which is formed by a cone of base radius 'R' and height 'H h'. There are two formulas that are used to calculate the volume of a frustum of a cone. What Is the Volume of the Frustum of a Cone Formula? \(S_2\) = The area of the other base square of the frustum.\(S_1\) = The area of the one base square of the frustum.Substituting these values in the volume of frustum formula, The base areas ( areas of circles) of the frustum of the cone from the above figure are: We will use the volume of frustum formula (from the previous section) to derive the volume of the frustum of a circular cone. Method 1 to Derive the Volume of Frustum of Cone Formula ![]() Note: Here π is a constant whose value is 22/7 (or) 3.141592653. Volume of frustum of cone = πH/3 (R 2 Rr r 2) Then the volume of the frustum of the cone is, Here, L and L l are the slant heights of the frustum and the cone respectively. Also, consider the frustum of a cone of height H with a small base radius 'r' and the large base radius 'R'. In both the methods, consider a cone of height H h and base radius R. While solving the problems in geometry, we usually come across with frustum of a cone and here we will see how to derive the formula of the volume of a frustum of a cone. ![]() The formula which we learned in the previous section can be used to calculate the volume of any frustum and hence it can be used to calculate the volume of the frustum of a cone as well. ![]()
0 Comments
Leave a Reply. |