Question

Find the curved surface area of frustum of a cone the dimeters of whose circular ends are 20m and 6m and its height is 24m

Answer 1

Answer:

Curved surface area of frustum = 3055 m²

Step-by-step explanation:

Let's assume that the big radius is R and small radius is r

Now, R = 30/2 = 15m

r = 6/2 = 3m

h = 24.

The slant height of the frustum cone is given by following equation

= √(h² + (R - r)²)

= √(24² + (15 - 3)²)

= 27 m. (approx.)

Now,

Curved surface area of frustum

= π(R + r)l

= 22/7 × ( 30 + 6 ) × 27

= 22/7 × 36 × 27

= 3055 m²