Q. 25.0( 2 Votes )

A frustum of a right circular cone has a diameter of base 20 cm, of top 12 cm, and height 3 cm. Find the area of its whole surface and volume.

Answer :

For frustum:

Base radius, r’ = 20/2 = 10cm

Top radius, r’’ = 12/2 = 6cm

Height, h = 3cm

Volume =

= 616 cub. cm

Let l be the slant height of the cone, then

l = 5cm

Total surface area of the frustum = π (r’ + r’’) × l + π r’2 + π r’’2

= π (20 + 10) × 15.620 + π (10)2 + π (6)2

= 678.85 cm2

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