Question

A friction clutch is in the form of a frustum of a cone the radii of the ends being 8 cm and 10 cm and length 8 cm .find its bearing surface and its volume

Answer 1

Step-by-step explanation:

We have,

Diameter of one end = 10cm

So, radius (R) = 5cm

Diameter of other end = 8cm

So, radius (r) = 4cm

and slant height, l = 8cm

So, height, h = √{l2 – (R – r)2} = √{(8)2 – (5 – 4)2 = √64 – (1)2 = √64 – 1 = √63 = 7.937 cm

Bearing surface of the clutch = CSA of the frustum = πl (R + r) = 3.14 × 8 (5 + 4) = 25.12 (9) = 226.08cm

then apply the formula of frustum of cone

itz done