In a frustum of a right circular cone the diameter of the lower base is 24ft while the diameter of the upper base is 14ft if the slant height of the frustum is 13ft find the total area and the volume of the frustum.

Answer 1

since the top diameter is 7/12 as big as the bottom diameter, the missing piece has a slant height of (7/5)(13)

So to figure the numbers for the frustrum, find them for the entire cone and subtract the value for the missing piece.

Or, since the frustrum is 7/19 as high as the whole cone, its

area is 1-(7/19)^2 of the whole cone
volume is 1-(7/19)^3 of the whole cone