A chimney cowl is a frustum whose rim radii are 26 cm and 6 cm and whose slant height is 29 cm. Find its vertical height.

Question

Accepted Answer

21 cm. From l^2 = h^2 + (R - r)^2 , h = √l^2 - (R - r)^2 = √29^2 - 20^2 = √841 - 400 = √441 = 21 cm. 29 cm mistakes the slant height for the vertical height; 20 cm is only R - r; 35.23 cm comes from ADDING the squares instead of subtracting.

A chimney cowl is a frustum whose rim radii are 26 cm and 6 cm and whose slant height is 29 cm. Find its vertical height.

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