What is the volume of the frustum if the perpendicular height of the original cone was 45 cm.Round of to the nearest cubic centimeters.
To find the volume of the frustum (truncated cone), we need the lengths of the two bases (the larger and smaller circles) and the height of the frustum.
Let the radius of the original (larger) base be R cm and the radius of the smaller base be r cm.
The volume of a frustum can be calculated using the formula:
V = (1/3) * π * h * (R^2 + R * r + r^2)
Given that the height of the original cone is 45 cm, and the frustum is the truncated part of the cone, the height of the frustum remains 45 cm.
Therefore, the volume of the frustum is: V = (1/3) * π * 45 * (R^2 + R * r + r^2)
Since we don't have specific values for R and r, we cannot calculate the exact volume. However, with the given information, we can still use the formula to determine the volume in terms of R and r.